Finding the Fourth Proportional to 10,278.82, 14,184.76 and 5,563.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.82 : 14,184.76 = 5,563.10 : x
2. Step 2: Convert to fraction form
   10,278.82/14,184.76 = 5,563.10/x
3. Step 3: Cross multiply
   10,278.82x = 14,184.76 × 5,563.10
4. Step 4: Simplify right side
   10,278.82x = 78,911,238.36
5. Step 5: Solve for x
   x = 78,911,238.36/10,278.82
6. Step 6: Final answer
   x = 7,677.07