Finding the Fourth Proportional to 1,123.98, 1,686.72 and 508.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.98 : 1,686.72 = 508.02 : x
2. Step 2: Convert to fraction form
   1,123.98/1,686.72 = 508.02/x
3. Step 3: Cross multiply
   1,123.98x = 1,686.72 × 508.02
4. Step 4: Simplify right side
   1,123.98x = 856,887.49
5. Step 5: Solve for x
   x = 856,887.49/1,123.98
6. Step 6: Final answer
   x = 762.37