Finding the Fourth Proportional to 10,278.77, 14,184.70 and 5,563.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.77 : 14,184.70 = 5,563.05 : x
2. Step 2: Convert to fraction form
   10,278.77/14,184.70 = 5,563.05/x
3. Step 3: Cross multiply
   10,278.77x = 14,184.70 × 5,563.05
4. Step 4: Simplify right side
   10,278.77x = 78,910,210.86
5. Step 5: Solve for x
   x = 78,910,210.86/10,278.77
6. Step 6: Final answer
   x = 7,677.01