Finding the Fourth Proportional to 10,377.92, 14,321.61 and 5,662.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.92 : 14,321.61 = 5,662.17 : x
2. Step 2: Convert to fraction form
   10,377.92/14,321.61 = 5,662.17/x
3. Step 3: Cross multiply
   10,377.92x = 14,321.61 × 5,662.17
4. Step 4: Simplify right side
   10,377.92x = 81,091,390.49
5. Step 5: Solve for x
   x = 81,091,390.49/10,377.92
6. Step 6: Final answer
   x = 7,813.84