Finding the Fourth Proportional to 10,277.38, 14,182.88 and 5,561.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.38 : 14,182.88 = 5,561.76 : x
2. Step 2: Convert to fraction form
   10,277.38/14,182.88 = 5,561.76/x
3. Step 3: Cross multiply
   10,277.38x = 14,182.88 × 5,561.76
4. Step 4: Simplify right side
   10,277.38x = 78,881,739.21
5. Step 5: Solve for x
   x = 78,881,739.21/10,277.38
6. Step 6: Final answer
   x = 7,675.28