Finding the Fourth Proportional to 10,278.80, 14,184.72 and 5,563.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.80 : 14,184.72 = 5,563.08 : x
2. Step 2: Convert to fraction form
   10,278.80/14,184.72 = 5,563.08/x
3. Step 3: Cross multiply
   10,278.80x = 14,184.72 × 5,563.08
4. Step 4: Simplify right side
   10,278.80x = 78,910,732.14
5. Step 5: Solve for x
   x = 78,910,732.14/10,278.80
6. Step 6: Final answer
   x = 7,677.04