Finding the Fourth Proportional to 10,422.50, 14,383.18 and 5,706.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.50 : 14,383.18 = 5,706.68 : x
2. Step 2: Convert to fraction form
   10,422.50/14,383.18 = 5,706.68/x
3. Step 3: Cross multiply
   10,422.50x = 14,383.18 × 5,706.68
4. Step 4: Simplify right side
   10,422.50x = 82,080,205.64
5. Step 5: Solve for x
   x = 82,080,205.64/10,422.50
6. Step 6: Final answer
   x = 7,875.29