Finding the Fourth Proportional to 10,377.15, 14,320.69 and 5,661.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.15 : 14,320.69 = 5,661.42 : x
2. Step 2: Convert to fraction form
   10,377.15/14,320.69 = 5,661.42/x
3. Step 3: Cross multiply
   10,377.15x = 14,320.69 × 5,661.42
4. Step 4: Simplify right side
   10,377.15x = 81,075,440.78
5. Step 5: Solve for x
   x = 81,075,440.78/10,377.15
6. Step 6: Final answer
   x = 7,812.88