Finding the Fourth Proportional to 10,606.50, 14,638.32 and 6,414.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.50 : 14,638.32 = 6,414.78 : x
2. Step 2: Convert to fraction form
   10,606.50/14,638.32 = 6,414.78/x
3. Step 3: Cross multiply
   10,606.50x = 14,638.32 × 6,414.78
4. Step 4: Simplify right side
   10,606.50x = 93,901,602.37
5. Step 5: Solve for x
   x = 93,901,602.37/10,606.50
6. Step 6: Final answer
   x = 8,853.21