Finding the Fourth Proportional to 1,084.88, 1,496.31 and 686.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.88 : 1,496.31 = 686.76 : x
2. Step 2: Convert to fraction form
   1,084.88/1,496.31 = 686.76/x
3. Step 3: Cross multiply
   1,084.88x = 1,496.31 × 686.76
4. Step 4: Simplify right side
   1,084.88x = 1,027,605.86
5. Step 5: Solve for x
   x = 1,027,605.86/1,084.88
6. Step 6: Final answer
   x = 947.21