Finding the Fourth Proportional to 5,500.74, 7,585.32 and 3,824.04

Step by Step Solution

1. Step 1: Write the proportion equation
   5,500.74 : 7,585.32 = 3,824.04 : x
2. Step 2: Convert to fraction form
   5,500.74/7,585.32 = 3,824.04/x
3. Step 3: Cross multiply
   5,500.74x = 7,585.32 × 3,824.04
4. Step 4: Simplify right side
   5,500.74x = 29,006,567.09
5. Step 5: Solve for x
   x = 29,006,567.09/5,500.74
6. Step 6: Final answer
   x = 5,273.21