Finding the Fourth Proportional to 10,608.31, 14,638.37 and 6,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,608.31 : 14,638.37 = 6,133.50 : x
2. Step 2: Convert to fraction form
   10,608.31/14,638.37 = 6,133.50/x
3. Step 3: Cross multiply
   10,608.31x = 14,638.37 × 6,133.50
4. Step 4: Simplify right side
   10,608.31x = 89,784,442.40
5. Step 5: Solve for x
   x = 89,784,442.40/10,608.31
6. Step 6: Final answer
   x = 8,463.60