Finding the Fourth Proportional to 9,152.27, 12,581.58 and 7,871.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152.27 : 12,581.58 = 7,871.43 : x
2. Step 2: Convert to fraction form
   9,152.27/12,581.58 = 7,871.43/x
3. Step 3: Cross multiply
   9,152.27x = 12,581.58 × 7,871.43
4. Step 4: Simplify right side
   9,152.27x = 99,034,987.91
5. Step 5: Solve for x
   x = 99,034,987.91/9,152.27
6. Step 6: Final answer
   x = 10,820.82