Finding the Fourth Proportional to 17,761.69, 24,500.16 and 10,586.77

Step by Step Solution

1. Step 1: Write the proportion equation
   17,761.69 : 24,500.16 = 10,586.77 : x
2. Step 2: Convert to fraction form
   17,761.69/24,500.16 = 10,586.77/x
3. Step 3: Cross multiply
   17,761.69x = 24,500.16 × 10,586.77
4. Step 4: Simplify right side
   17,761.69x = 259,377,558.88
5. Step 5: Solve for x
   x = 259,377,558.88/17,761.69
6. Step 6: Final answer
   x = 14,603.20