Finding the Fourth Proportional to 13,414.83, 18,499.71 and 9,777.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,414.83 : 18,499.71 = 9,777.57 : x
2. Step 2: Convert to fraction form
   13,414.83/18,499.71 = 9,777.57/x
3. Step 3: Cross multiply
   13,414.83x = 18,499.71 × 9,777.57
4. Step 4: Simplify right side
   13,414.83x = 180,882,209.50
5. Step 5: Solve for x
   x = 180,882,209.50/13,414.83
6. Step 6: Final answer
   x = 13,483.75