Finding the Fourth Proportional to 1,152.50, 1,590.46 and 686.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.50 : 1,590.46 = 686.76 : x
2. Step 2: Convert to fraction form
   1,152.50/1,590.46 = 686.76/x
3. Step 3: Cross multiply
   1,152.50x = 1,590.46 × 686.76
4. Step 4: Simplify right side
   1,152.50x = 1,092,264.31
5. Step 5: Solve for x
   x = 1,092,264.31/1,152.50
6. Step 6: Final answer
   x = 947.73