Finding the Fourth Proportional to 10,377.59, 14,321.16 and 5,661.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.59 : 14,321.16 = 5,661.95 : x
2. Step 2: Convert to fraction form
   10,377.59/14,321.16 = 5,661.95/x
3. Step 3: Cross multiply
   10,377.59x = 14,321.16 × 5,661.95
4. Step 4: Simplify right side
   10,377.59x = 81,085,620.26
5. Step 5: Solve for x
   x = 81,085,620.26/10,377.59
6. Step 6: Final answer
   x = 7,813.53