Finding the Fourth Proportional to 10,277.35, 14,182.74 and 5,561.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.35 : 14,182.74 = 5,561.63 : x
2. Step 2: Convert to fraction form
   10,277.35/14,182.74 = 5,561.63/x
3. Step 3: Cross multiply
   10,277.35x = 14,182.74 × 5,561.63
4. Step 4: Simplify right side
   10,277.35x = 78,879,134.54
5. Step 5: Solve for x
   x = 78,879,134.54/10,277.35
6. Step 6: Final answer
   x = 7,675.05