Finding the Fourth Proportional to 10,421.80, 14,382.06 and 5,706.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.80 : 14,382.06 = 5,706.04 : x
2. Step 2: Convert to fraction form
   10,421.80/14,382.06 = 5,706.04/x
3. Step 3: Cross multiply
   10,421.80x = 14,382.06 × 5,706.04
4. Step 4: Simplify right side
   10,421.80x = 82,064,609.64
5. Step 5: Solve for x
   x = 82,064,609.64/10,421.80
6. Step 6: Final answer
   x = 7,874.32