Finding the Fourth Proportional to 10,372.74, 14,314.16 and 5,896.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372.74 : 14,314.16 = 5,896.49 : x
2. Step 2: Convert to fraction form
   10,372.74/14,314.16 = 5,896.49/x
3. Step 3: Cross multiply
   10,372.74x = 14,314.16 × 5,896.49
4. Step 4: Simplify right side
   10,372.74x = 84,403,200.25
5. Step 5: Solve for x
   x = 84,403,200.25/10,372.74
6. Step 6: Final answer
   x = 8,137.02