Finding the Fourth Proportional to 6,138.34, 9,216.89 and 5,885.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,138.34 : 9,216.89 = 5,885.62 : x
2. Step 2: Convert to fraction form
   6,138.34/9,216.89 = 5,885.62/x
3. Step 3: Cross multiply
   6,138.34x = 9,216.89 × 5,885.62
4. Step 4: Simplify right side
   6,138.34x = 54,247,081.72
5. Step 5: Solve for x
   x = 54,247,081.72/6,138.34
6. Step 6: Final answer
   x = 8,837.42