Finding the Fourth Proportional to 10,377.84, 14,321.76 and 5,901.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.84 : 14,321.76 = 5,901.42 : x
2. Step 2: Convert to fraction form
   10,377.84/14,321.76 = 5,901.42/x
3. Step 3: Cross multiply
   10,377.84x = 14,321.76 × 5,901.42
4. Step 4: Simplify right side
   10,377.84x = 84,518,720.90
5. Step 5: Solve for x
   x = 84,518,720.90/10,377.84
6. Step 6: Final answer
   x = 8,144.15