Finding the Fourth Proportional to 10,186.56, 14,055.12 and 5,710.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.56 : 14,055.12 = 5,710.14 : x
2. Step 2: Convert to fraction form
   10,186.56/14,055.12 = 5,710.14/x
3. Step 3: Cross multiply
   10,186.56x = 14,055.12 × 5,710.14
4. Step 4: Simplify right side
   10,186.56x = 80,256,702.92
5. Step 5: Solve for x
   x = 80,256,702.92/10,186.56
6. Step 6: Final answer
   x = 7,878.69