Finding the Fourth Proportional to 10,277.04, 14,182.29 and 5,561.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.04 : 14,182.29 = 5,561.40 : x
2. Step 2: Convert to fraction form
   10,277.04/14,182.29 = 5,561.40/x
3. Step 3: Cross multiply
   10,277.04x = 14,182.29 × 5,561.40
4. Step 4: Simplify right side
   10,277.04x = 78,873,387.61
5. Step 5: Solve for x
   x = 78,873,387.61/10,277.04
6. Step 6: Final answer
   x = 7,674.72