Finding the Fourth Proportional to 11,638.34, 16,061.25 and 6,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638.34 : 16,061.25 = 6,333.50 : x
2. Step 2: Convert to fraction form
   11,638.34/16,061.25 = 6,333.50/x
3. Step 3: Cross multiply
   11,638.34x = 16,061.25 × 6,333.50
4. Step 4: Simplify right side
   11,638.34x = 101,723,926.88
5. Step 5: Solve for x
   x = 101,723,926.88/11,638.34
6. Step 6: Final answer
   x = 8,740.42