Finding the Fourth Proportional to 10,277.18, 14,182.50 and 5,561.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.18 : 14,182.50 = 5,561.48 : x
2. Step 2: Convert to fraction form
   10,277.18/14,182.50 = 5,561.48/x
3. Step 3: Cross multiply
   10,277.18x = 14,182.50 × 5,561.48
4. Step 4: Simplify right side
   10,277.18x = 78,875,690.10
5. Step 5: Solve for x
   x = 78,875,690.10/10,277.18
6. Step 6: Final answer
   x = 7,674.84