Finding the Fourth Proportional to 10,377.09, 14,320.43 and 5,661.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.09 : 14,320.43 = 5,661.47 : x
2. Step 2: Convert to fraction form
   10,377.09/14,320.43 = 5,661.47/x
3. Step 3: Cross multiply
   10,377.09x = 14,320.43 × 5,661.47
4. Step 4: Simplify right side
   10,377.09x = 81,074,713.56
5. Step 5: Solve for x
   x = 81,074,713.56/10,377.09
6. Step 6: Final answer
   x = 7,812.86