Finding the Fourth Proportional to 10,421.77, 14,382.06 and 5,706.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.77 : 14,382.06 = 5,706.35 : x
2. Step 2: Convert to fraction form
   10,421.77/14,382.06 = 5,706.35/x
3. Step 3: Cross multiply
   10,421.77x = 14,382.06 × 5,706.35
4. Step 4: Simplify right side
   10,421.77x = 82,069,068.08
5. Step 5: Solve for x
   x = 82,069,068.08/10,421.77
6. Step 6: Final answer
   x = 7,874.78