Finding the Fourth Proportional to 10,277.16, 14,182.38 and 5,561.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.16 : 14,182.38 = 5,561.34 : x
2. Step 2: Convert to fraction form
   10,277.16/14,182.38 = 5,561.34/x
3. Step 3: Cross multiply
   10,277.16x = 14,182.38 × 5,561.34
4. Step 4: Simplify right side
   10,277.16x = 78,873,037.19
5. Step 5: Solve for x
   x = 78,873,037.19/10,277.16
6. Step 6: Final answer
   x = 7,674.59