Finding the Fourth Proportional to 10,277.32, 14,182.70 and 5,561.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.32 : 14,182.70 = 5,561.60 : x
2. Step 2: Convert to fraction form
   10,277.32/14,182.70 = 5,561.60/x
3. Step 3: Cross multiply
   10,277.32x = 14,182.70 × 5,561.60
4. Step 4: Simplify right side
   10,277.32x = 78,878,405.60
5. Step 5: Solve for x
   x = 78,878,405.60/10,277.32
6. Step 6: Final answer
   x = 7,675.00