Finding the Fourth Proportional to 10,278.83, 14,184.79 and 5,563.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.83 : 14,184.79 = 5,563.10 : x
2. Step 2: Convert to fraction form
   10,278.83/14,184.79 = 5,563.10/x
3. Step 3: Cross multiply
   10,278.83x = 14,184.79 × 5,563.10
4. Step 4: Simplify right side
   10,278.83x = 78,911,426.80
5. Step 5: Solve for x
   x = 78,911,426.80/10,278.83
6. Step 6: Final answer
   x = 7,677.08