Finding the Fourth Proportional to 10,377, 14,321.46 and 5,901.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377 : 14,321.46 = 5,901.42 : x
2. Step 2: Convert to fraction form
   10,377/14,321.46 = 5,901.42/x
3. Step 3: Cross multiply
   10,377x = 14,321.46 × 5,901.42
4. Step 4: Simplify right side
   10,377x = 84,516,950.47
5. Step 5: Solve for x
   x = 84,516,950.47/10,377
6. Step 6: Final answer
   x = 8,144.64