Finding the Fourth Proportional to 10,642.38, 14,686.48 and 5,927.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.38 : 14,686.48 = 5,927.57 : x
2. Step 2: Convert to fraction form
   10,642.38/14,686.48 = 5,927.57/x
3. Step 3: Cross multiply
   10,642.38x = 14,686.48 × 5,927.57
4. Step 4: Simplify right side
   10,642.38x = 87,055,138.25
5. Step 5: Solve for x
   x = 87,055,138.25/10,642.38
6. Step 6: Final answer
   x = 8,180.04