Finding the Fourth Proportional to 10,377.62, 14,321.06 and 5,661.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.62 : 14,321.06 = 5,661.90 : x
2. Step 2: Convert to fraction form
   10,377.62/14,321.06 = 5,661.90/x
3. Step 3: Cross multiply
   10,377.62x = 14,321.06 × 5,661.90
4. Step 4: Simplify right side
   10,377.62x = 81,084,409.61
5. Step 5: Solve for x
   x = 81,084,409.61/10,377.62
6. Step 6: Final answer
   x = 7,813.39