Finding the Fourth Proportional to 9,020.47, 12,438.12 and 5,829.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,020.47 : 12,438.12 = 5,829.57 : x
2. Step 2: Convert to fraction form
   9,020.47/12,438.12 = 5,829.57/x
3. Step 3: Cross multiply
   9,020.47x = 12,438.12 × 5,829.57
4. Step 4: Simplify right side
   9,020.47x = 72,508,891.21
5. Step 5: Solve for x
   x = 72,508,891.21/9,020.47
6. Step 6: Final answer
   x = 8,038.26