Finding the Fourth Proportional to 10,605.06, 14,641.56 and 6,834.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.06 : 14,641.56 = 6,834.72 : x
2. Step 2: Convert to fraction form
   10,605.06/14,641.56 = 6,834.72/x
3. Step 3: Cross multiply
   10,605.06x = 14,641.56 × 6,834.72
4. Step 4: Simplify right side
   10,605.06x = 100,070,962.96
5. Step 5: Solve for x
   x = 100,070,962.96/10,605.06
6. Step 6: Final answer
   x = 9,436.15