Finding the Fourth Proportional to 9,113.68, 12,583.62 and 5,581.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,113.68 : 12,583.62 = 5,581.72 : x
2. Step 2: Convert to fraction form
   9,113.68/12,583.62 = 5,581.72/x
3. Step 3: Cross multiply
   9,113.68x = 12,583.62 × 5,581.72
4. Step 4: Simplify right side
   9,113.68x = 70,238,243.43
5. Step 5: Solve for x
   x = 70,238,243.43/9,113.68
6. Step 6: Final answer
   x = 7,706.90