Finding the Fourth Proportional to 10,157.42, 14,012.79 and 5,963.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.42 : 14,012.79 = 5,963.78 : x
2. Step 2: Convert to fraction form
   10,157.42/14,012.79 = 5,963.78/x
3. Step 3: Cross multiply
   10,157.42x = 14,012.79 × 5,963.78
4. Step 4: Simplify right side
   10,157.42x = 83,569,196.75
5. Step 5: Solve for x
   x = 83,569,196.75/10,157.42
6. Step 6: Final answer
   x = 8,227.40