Finding the Fourth Proportional to 10,182.39, 14,051.57 and 5,706.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.39 : 14,051.57 = 5,706.12 : x
2. Step 2: Convert to fraction form
   10,182.39/14,051.57 = 5,706.12/x
3. Step 3: Cross multiply
   10,182.39x = 14,051.57 × 5,706.12
4. Step 4: Simplify right side
   10,182.39x = 80,179,944.61
5. Step 5: Solve for x
   x = 80,179,944.61/10,182.39
6. Step 6: Final answer
   x = 7,874.37