Finding the Fourth Proportional to 1,153.50, 1,592.10 and 688.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 1,592.10 = 688.02 : x
2. Step 2: Convert to fraction form
   1,153.50/1,592.10 = 688.02/x
3. Step 3: Cross multiply
   1,153.50x = 1,592.10 × 688.02
4. Step 4: Simplify right side
   1,153.50x = 1,095,396.64
5. Step 5: Solve for x
   x = 1,095,396.64/1,153.50
6. Step 6: Final answer
   x = 949.63