Finding the Fourth Proportional to 10,278.76, 14,184.69 and 5,563.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.76 : 14,184.69 = 5,563.04 : x
2. Step 2: Convert to fraction form
   10,278.76/14,184.69 = 5,563.04/x
3. Step 3: Cross multiply
   10,278.76x = 14,184.69 × 5,563.04
4. Step 4: Simplify right side
   10,278.76x = 78,909,985.86
5. Step 5: Solve for x
   x = 78,909,985.86/10,278.76
6. Step 6: Final answer
   x = 7,677.00