Finding the Fourth Proportional to 5,585.50, 7,702.56 and 3,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,585.50 : 7,702.56 = 3,772.50 : x
2. Step 2: Convert to fraction form
   5,585.50/7,702.56 = 3,772.50/x
3. Step 3: Cross multiply
   5,585.50x = 7,702.56 × 3,772.50
4. Step 4: Simplify right side
   5,585.50x = 29,057,907.60
5. Step 5: Solve for x
   x = 29,057,907.60/5,585.50
6. Step 6: Final answer
   x = 5,202.39