Finding the Fourth Proportional to 17,633.89, 24,336.35 and 9,677.67

Step by Step Solution

1. Step 1: Write the proportion equation
   17,633.89 : 24,336.35 = 9,677.67 : x
2. Step 2: Convert to fraction form
   17,633.89/24,336.35 = 9,677.67/x
3. Step 3: Cross multiply
   17,633.89x = 24,336.35 × 9,677.67
4. Step 4: Simplify right side
   17,633.89x = 235,519,164.30
5. Step 5: Solve for x
   x = 235,519,164.30/17,633.89
6. Step 6: Final answer
   x = 13,356.05