Finding the Fourth Proportional to 10,277.47, 14,182.91 and 5,561.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.47 : 14,182.91 = 5,561.75 : x
2. Step 2: Convert to fraction form
   10,277.47/14,182.91 = 5,561.75/x
3. Step 3: Cross multiply
   10,277.47x = 14,182.91 × 5,561.75
4. Step 4: Simplify right side
   10,277.47x = 78,881,866.78
5. Step 5: Solve for x
   x = 78,881,866.78/10,277.47
6. Step 6: Final answer
   x = 7,675.22