Finding the Fourth Proportional to 1,153.69, 1,592.24 and 687.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.69 : 1,592.24 = 687.94 : x
2. Step 2: Convert to fraction form
   1,153.69/1,592.24 = 687.94/x
3. Step 3: Cross multiply
   1,153.69x = 1,592.24 × 687.94
4. Step 4: Simplify right side
   1,153.69x = 1,095,358.17
5. Step 5: Solve for x
   x = 1,095,358.17/1,153.69
6. Step 6: Final answer
   x = 949.44