Finding the Fourth Proportional to 1,153.69, 1,592.16 and 656.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.69 : 1,592.16 = 656.40 : x
2. Step 2: Convert to fraction form
   1,153.69/1,592.16 = 656.40/x
3. Step 3: Cross multiply
   1,153.69x = 1,592.16 × 656.40
4. Step 4: Simplify right side
   1,153.69x = 1,045,097.33
5. Step 5: Solve for x
   x = 1,045,097.33/1,153.69
6. Step 6: Final answer
   x = 905.87