Finding the Fourth Proportional to 10,372.77, 14,314.47 and 5,897.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372.77 : 14,314.47 = 5,897.46 : x
2. Step 2: Convert to fraction form
   10,372.77/14,314.47 = 5,897.46/x
3. Step 3: Cross multiply
   10,372.77x = 14,314.47 × 5,897.46
4. Step 4: Simplify right side
   10,372.77x = 84,418,998.46
5. Step 5: Solve for x
   x = 84,418,998.46/10,372.77
6. Step 6: Final answer
   x = 8,138.52