Finding the Fourth Proportional to 1,152.64, 1,590.72 and 655.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.64 : 1,590.72 = 655.24 : x
2. Step 2: Convert to fraction form
   1,152.64/1,590.72 = 655.24/x
3. Step 3: Cross multiply
   1,152.64x = 1,590.72 × 655.24
4. Step 4: Simplify right side
   1,152.64x = 1,042,303.37
5. Step 5: Solve for x
   x = 1,042,303.37/1,152.64
6. Step 6: Final answer
   x = 904.27