Finding the Fourth Proportional to 10,374.33, 14,314.55 and 5,897.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.33 : 14,314.55 = 5,897.31 : x
2. Step 2: Convert to fraction form
   10,374.33/14,314.55 = 5,897.31/x
3. Step 3: Cross multiply
   10,374.33x = 14,314.55 × 5,897.31
4. Step 4: Simplify right side
   10,374.33x = 84,417,363.05
5. Step 5: Solve for x
   x = 84,417,363.05/10,374.33
6. Step 6: Final answer
   x = 8,137.14