Finding the Fourth Proportional to 10,179.89, 14,048.21 and 5,642.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,179.89 : 14,048.21 = 5,642.86 : x
2. Step 2: Convert to fraction form
   10,179.89/14,048.21 = 5,642.86/x
3. Step 3: Cross multiply
   10,179.89x = 14,048.21 × 5,642.86
4. Step 4: Simplify right side
   10,179.89x = 79,272,082.28
5. Step 5: Solve for x
   x = 79,272,082.28/10,179.89
6. Step 6: Final answer
   x = 7,787.13