Finding the Fourth Proportional to 10,377.42, 14,320.62 and 5,661.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.42 : 14,320.62 = 5,661.60 : x
2. Step 2: Convert to fraction form
   10,377.42/14,320.62 = 5,661.60/x
3. Step 3: Cross multiply
   10,377.42x = 14,320.62 × 5,661.60
4. Step 4: Simplify right side
   10,377.42x = 81,077,622.19
5. Step 5: Solve for x
   x = 81,077,622.19/10,377.42
6. Step 6: Final answer
   x = 7,812.89