Finding the Fourth Proportional to 10,277.34, 14,182.74 and 5,561.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.34 : 14,182.74 = 5,561.61 : x
2. Step 2: Convert to fraction form
   10,277.34/14,182.74 = 5,561.61/x
3. Step 3: Cross multiply
   10,277.34x = 14,182.74 × 5,561.61
4. Step 4: Simplify right side
   10,277.34x = 78,878,868.61
5. Step 5: Solve for x
   x = 78,878,868.61/10,277.34
6. Step 6: Final answer
   x = 7,675.03