Finding the Fourth Proportional to 10,421.84, 14,382.16 and 5,706.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.84 : 14,382.16 = 5,706.38 : x
2. Step 2: Convert to fraction form
   10,421.84/14,382.16 = 5,706.38/x
3. Step 3: Cross multiply
   10,421.84x = 14,382.16 × 5,706.38
4. Step 4: Simplify right side
   10,421.84x = 82,070,070.18
5. Step 5: Solve for x
   x = 82,070,070.18/10,421.84
6. Step 6: Final answer
   x = 7,874.82