Finding the Fourth Proportional to 10,782.78, 16,179.30 and 5,588.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.78 : 16,179.30 = 5,588.64 : x
2. Step 2: Convert to fraction form
   10,782.78/16,179.30 = 5,588.64/x
3. Step 3: Cross multiply
   10,782.78x = 16,179.30 × 5,588.64
4. Step 4: Simplify right side
   10,782.78x = 90,420,283.15
5. Step 5: Solve for x
   x = 90,420,283.15/10,782.78
6. Step 6: Final answer
   x = 8,385.62