Finding the Fourth Proportional to 10,656.64, 14,706.18 and 5,940.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,656.64 : 14,706.18 = 5,940.82 : x
2. Step 2: Convert to fraction form
   10,656.64/14,706.18 = 5,940.82/x
3. Step 3: Cross multiply
   10,656.64x = 14,706.18 × 5,940.82
4. Step 4: Simplify right side
   10,656.64x = 87,366,665.03
5. Step 5: Solve for x
   x = 87,366,665.03/10,656.64
6. Step 6: Final answer
   x = 8,198.34