Finding the Fourth Proportional to 10,278.63, 14,184.61 and 5,563.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.63 : 14,184.61 = 5,563.01 : x
2. Step 2: Convert to fraction form
   10,278.63/14,184.61 = 5,563.01/x
3. Step 3: Cross multiply
   10,278.63x = 14,184.61 × 5,563.01
4. Step 4: Simplify right side
   10,278.63x = 78,909,127.28
5. Step 5: Solve for x
   x = 78,909,127.28/10,278.63
6. Step 6: Final answer
   x = 7,677.01