Finding the Fourth Proportional to 684.72, 1,025.52 and 569.52

Step by Step Solution

1. Step 1: Write the proportion equation
   684.72 : 1,025.52 = 569.52 : x
2. Step 2: Convert to fraction form
   684.72/1,025.52 = 569.52/x
3. Step 3: Cross multiply
   684.72x = 1,025.52 × 569.52
4. Step 4: Simplify right side
   684.72x = 584,054.15
5. Step 5: Solve for x
   x = 584,054.15/684.72
6. Step 6: Final answer
   x = 852.98