Finding the Fourth Proportional to 10,277.29, 14,182.74 and 5,561.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.29 : 14,182.74 = 5,561.56 : x
2. Step 2: Convert to fraction form
   10,277.29/14,182.74 = 5,561.56/x
3. Step 3: Cross multiply
   10,277.29x = 14,182.74 × 5,561.56
4. Step 4: Simplify right side
   10,277.29x = 78,878,159.47
5. Step 5: Solve for x
   x = 78,878,159.47/10,277.29
6. Step 6: Final answer
   x = 7,675.00