Finding the Fourth Proportional to 10,438.57, 14,405.09 and 5,658.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.57 : 14,405.09 = 5,658.41 : x
2. Step 2: Convert to fraction form
   10,438.57/14,405.09 = 5,658.41/x
3. Step 3: Cross multiply
   10,438.57x = 14,405.09 × 5,658.41
4. Step 4: Simplify right side
   10,438.57x = 81,509,863.83
5. Step 5: Solve for x
   x = 81,509,863.83/10,438.57
6. Step 6: Final answer
   x = 7,808.53