Finding the Fourth Proportional to 1,152.50, 1,590.77 and 655.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.50 : 1,590.77 = 655.40 : x
2. Step 2: Convert to fraction form
   1,152.50/1,590.77 = 655.40/x
3. Step 3: Cross multiply
   1,152.50x = 1,590.77 × 655.40
4. Step 4: Simplify right side
   1,152.50x = 1,042,596.27
5. Step 5: Solve for x
   x = 1,042,596.27/1,152.50
6. Step 6: Final answer
   x = 904.64