Finding the Fourth Proportional to 10,421.82, 14,382.12 and 5,706.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.82 : 14,382.12 = 5,706.11 : x
2. Step 2: Convert to fraction form
   10,421.82/14,382.12 = 5,706.11/x
3. Step 3: Cross multiply
   10,421.82x = 14,382.12 × 5,706.11
4. Step 4: Simplify right side
   10,421.82x = 82,065,886.84
5. Step 5: Solve for x
   x = 82,065,886.84/10,421.82
6. Step 6: Final answer
   x = 7,874.43