Finding the Fourth Proportional to 10,377.45, 14,320.80 and 5,661.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.45 : 14,320.80 = 5,661.63 : x
2. Step 2: Convert to fraction form
   10,377.45/14,320.80 = 5,661.63/x
3. Step 3: Cross multiply
   10,377.45x = 14,320.80 × 5,661.63
4. Step 4: Simplify right side
   10,377.45x = 81,079,070.90
5. Step 5: Solve for x
   x = 81,079,070.90/10,377.45
6. Step 6: Final answer
   x = 7,813.01