Finding the Fourth Proportional to 10,341, 14,269.50 and 5,863.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,341 : 14,269.50 = 5,863.32 : x
2. Step 2: Convert to fraction form
   10,341/14,269.50 = 5,863.32/x
3. Step 3: Cross multiply
   10,341x = 14,269.50 × 5,863.32
4. Step 4: Simplify right side
   10,341x = 83,666,644.74
5. Step 5: Solve for x
   x = 83,666,644.74/10,341
6. Step 6: Final answer
   x = 8,090.77