Finding the Fourth Proportional to 10,422.03, 14,382.63 and 5,706.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.03 : 14,382.63 = 5,706.21 : x
2. Step 2: Convert to fraction form
   10,422.03/14,382.63 = 5,706.21/x
3. Step 3: Cross multiply
   10,422.03x = 14,382.63 × 5,706.21
4. Step 4: Simplify right side
   10,422.03x = 82,070,307.13
5. Step 5: Solve for x
   x = 82,070,307.13/10,422.03
6. Step 6: Final answer
   x = 7,874.69