Finding the Fourth Proportional to 17,735.90, 24,475.71 and 9,778.41

Step by Step Solution

1. Step 1: Write the proportion equation
   17,735.90 : 24,475.71 = 9,778.41 : x
2. Step 2: Convert to fraction form
   17,735.90/24,475.71 = 9,778.41/x
3. Step 3: Cross multiply
   17,735.90x = 24,475.71 × 9,778.41
4. Step 4: Simplify right side
   17,735.90x = 239,333,356.15
5. Step 5: Solve for x
   x = 239,333,356.15/17,735.90
6. Step 6: Final answer
   x = 13,494.29