Finding the Fourth Proportional to 1,152.75, 1,590.83 and 655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.75 : 1,590.83 = 655.50 : x
2. Step 2: Convert to fraction form
   1,152.75/1,590.83 = 655.50/x
3. Step 3: Cross multiply
   1,152.75x = 1,590.83 × 655.50
4. Step 4: Simplify right side
   1,152.75x = 1,042,789.07
5. Step 5: Solve for x
   x = 1,042,789.07/1,152.75
6. Step 6: Final answer
   x = 904.61