Malaysia uses Cassini projections per state for cadastral mapping. For Kuala Lumpur, the Selangor grid would be the right one. The EPSG registry lists these codes:
3380 GDM2000 / Selangor Grid
4393 Kertau 1968 / Selangor Grid
Unfortunately, both do not fit to your coordinates, and the second has not even found its way into the PROJ.4/GDAL software. Neither does the countrywide projection EPSG:3375 GDM2000 / Peninsula RSO fit.
So lets put up a custom CRS based on EPSG:3380, assuming the reference point is close to the first coordinate:
+proj=cass +lat_0=3.184487 +lon_0=101.718079 +x_0=23463.817 +y_0=-54819.146 +ellps=GRS80 +units=m +no_defs
Creating a grid with this datum, you will see that the origin will be around
101.5°E 3.68°N, which is, by coincidence, close to the orgin of EPSG:3380 Selangor Grid, omitting the false Easting and Northing of that projection.
After some searching on the internet, you will come across a file named
In chapter 4.5, you can read that Malaysia has reorganized its local Cassini projections, now setting all False eastings and Northings to zero. The document lists for Selangor the Bukit Asa reference station, with these coordinates:
3° 40' 48.37751" North 101° 30' 24.48130" East
which is equivalent to 3.68010486388889 N 101.506800361111 E in decimal degrees. So the right PROJ.4 string and .prj file content for your coordinate system would be:
+proj=cass +lat_0=3.68010486388889 +lon_0=101.506800361111 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs
PROJCS["Cassini",GEOGCS["GCS_GRS 1980(IUGG, 1980)",DATUM["D_unknown",SPHEROID["GRS80",6378137,298.257222101]],PRIMEM["Greenwich",0],UNIT["Degree",0.017453292519943295]],PROJECTION["Cassini"],PARAMETER["latitude_of_origin",3.68010486388889],PARAMETER["central_meridian",101.506800361111],PARAMETER["false_easting",0],PARAMETER["false_northing",0],UNIT["Meter",1],PARAMETER["scale_factor",1.0]]
which places your coordinates about 26 meters from your reference point:
It seems that neither EPSG nor any GIS software has adopted this new set of local Cassini projections of Malasyia yet. The Surveying Authority makes some mistery about it, partially because they want to get money for the information they provide.