Finding the Fourth Proportional to 10,374.27, 14,315.97 and 5,897.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.27 : 14,315.97 = 5,897.94 : x
2. Step 2: Convert to fraction form
   10,374.27/14,315.97 = 5,897.94/x
3. Step 3: Cross multiply
   10,374.27x = 14,315.97 × 5,897.94
4. Step 4: Simplify right side
   10,374.27x = 84,434,732.10
5. Step 5: Solve for x
   x = 84,434,732.10/10,374.27
6. Step 6: Final answer
   x = 8,138.86