Finding the Fourth Proportional to 123,264.64, 185,012.52 and 64,142.20

Step by Step Solution

1. Step 1: Write the proportion equation
   123,264.64 : 185,012.52 = 64,142.20 : x
2. Step 2: Convert to fraction form
   123,264.64/185,012.52 = 64,142.20/x
3. Step 3: Cross multiply
   123,264.64x = 185,012.52 × 64,142.20
4. Step 4: Simplify right side
   123,264.64x = 11,867,110,060.34
5. Step 5: Solve for x
   x = 11,867,110,060.34/123,264.64
6. Step 6: Final answer
   x = 96,273.43