Finding the Fourth Proportional to 10,438.10, 14,407.29 and 6,456.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.10 : 14,407.29 = 6,456.89 : x
2. Step 2: Convert to fraction form
   10,438.10/14,407.29 = 6,456.89/x
3. Step 3: Cross multiply
   10,438.10x = 14,407.29 × 6,456.89
4. Step 4: Simplify right side
   10,438.10x = 93,026,214.69
5. Step 5: Solve for x
   x = 93,026,214.69/10,438.10
6. Step 6: Final answer
   x = 8,912.18