Finding the Fourth Proportional to 10,642.14, 14,686.17 and 5,927.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.14 : 14,686.17 = 5,927.52 : x
2. Step 2: Convert to fraction form
   10,642.14/14,686.17 = 5,927.52/x
3. Step 3: Cross multiply
   10,642.14x = 14,686.17 × 5,927.52
4. Step 4: Simplify right side
   10,642.14x = 87,052,566.40
5. Step 5: Solve for x
   x = 87,052,566.40/10,642.14
6. Step 6: Final answer
   x = 8,179.99