Finding the Fourth Proportional to 10,422.68, 14,382.86 and 5,706.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.68 : 14,382.86 = 5,706.95 : x
2. Step 2: Convert to fraction form
   10,422.68/14,382.86 = 5,706.95/x
3. Step 3: Cross multiply
   10,422.68x = 14,382.86 × 5,706.95
4. Step 4: Simplify right side
   10,422.68x = 82,082,162.43
5. Step 5: Solve for x
   x = 82,082,162.43/10,422.68
6. Step 6: Final answer
   x = 7,875.35