Finding the Fourth Proportional to 10,640.97, 14,684.52 and 5,926.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.97 : 14,684.52 = 5,926.35 : x
2. Step 2: Convert to fraction form
   10,640.97/14,684.52 = 5,926.35/x
3. Step 3: Cross multiply
   10,640.97x = 14,684.52 × 5,926.35
4. Step 4: Simplify right side
   10,640.97x = 87,025,605.10
5. Step 5: Solve for x
   x = 87,025,605.10/10,640.97
6. Step 6: Final answer
   x = 8,178.35