Finding the Fourth Proportional to 1,152.84, 1,590.80 and 655.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.84 : 1,590.80 = 655.52 : x
2. Step 2: Convert to fraction form
   1,152.84/1,590.80 = 655.52/x
3. Step 3: Cross multiply
   1,152.84x = 1,590.80 × 655.52
4. Step 4: Simplify right side
   1,152.84x = 1,042,801.22
5. Step 5: Solve for x
   x = 1,042,801.22/1,152.84
6. Step 6: Final answer
   x = 904.55