Finding the Fourth Proportional to 10,276.88, 14,182.09 and 5,561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276.88 : 14,182.09 = 5,561.16 : x
2. Step 2: Convert to fraction form
   10,276.88/14,182.09 = 5,561.16/x
3. Step 3: Cross multiply
   10,276.88x = 14,182.09 × 5,561.16
4. Step 4: Simplify right side
   10,276.88x = 78,868,804.54
5. Step 5: Solve for x
   x = 78,868,804.54/10,276.88
6. Step 6: Final answer
   x = 7,674.40