Finding the Fourth Proportional to 10,277.33, 14,182.69 and 5,561.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.33 : 14,182.69 = 5,561.62 : x
2. Step 2: Convert to fraction form
   10,277.33/14,182.69 = 5,561.62/x
3. Step 3: Cross multiply
   10,277.33x = 14,182.69 × 5,561.62
4. Step 4: Simplify right side
   10,277.33x = 78,878,668.40
5. Step 5: Solve for x
   x = 78,878,668.40/10,277.33
6. Step 6: Final answer
   x = 7,675.02