Finding the Fourth Proportional to 9,389.56, 12,957.21 and 5,614.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,389.56 : 12,957.21 = 5,614.83 : x
2. Step 2: Convert to fraction form
   9,389.56/12,957.21 = 5,614.83/x
3. Step 3: Cross multiply
   9,389.56x = 12,957.21 × 5,614.83
4. Step 4: Simplify right side
   9,389.56x = 72,752,531.42
5. Step 5: Solve for x
   x = 72,752,531.42/9,389.56
6. Step 6: Final answer
   x = 7,748.24