Finding the Fourth Proportional to 10,422.42, 14,382.84 and 5,706.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.42 : 14,382.84 = 5,706.69 : x
2. Step 2: Convert to fraction form
   10,422.42/14,382.84 = 5,706.69/x
3. Step 3: Cross multiply
   10,422.42x = 14,382.84 × 5,706.69
4. Step 4: Simplify right side
   10,422.42x = 82,078,409.20
5. Step 5: Solve for x
   x = 82,078,409.20/10,422.42
6. Step 6: Final answer
   x = 7,875.18