Finding the Fourth Proportional to 11,662.78, 17,490.38 and 3,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,662.78 : 17,490.38 = 3,869.50 : x
2. Step 2: Convert to fraction form
   11,662.78/17,490.38 = 3,869.50/x
3. Step 3: Cross multiply
   11,662.78x = 17,490.38 × 3,869.50
4. Step 4: Simplify right side
   11,662.78x = 67,679,025.41
5. Step 5: Solve for x
   x = 67,679,025.41/11,662.78
6. Step 6: Final answer
   x = 5,802.99