Finding the Fourth Proportional to 10,182.29, 14,051.17 and 5,706.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.29 : 14,051.17 = 5,706.08 : x
2. Step 2: Convert to fraction form
   10,182.29/14,051.17 = 5,706.08/x
3. Step 3: Cross multiply
   10,182.29x = 14,051.17 × 5,706.08
4. Step 4: Simplify right side
   10,182.29x = 80,177,015.59
5. Step 5: Solve for x
   x = 80,177,015.59/10,182.29
6. Step 6: Final answer
   x = 7,874.17