Finding the Fourth Proportional to 10,342.50, 14,271.57 and 5,864.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,342.50 : 14,271.57 = 5,864.82 : x
2. Step 2: Convert to fraction form
   10,342.50/14,271.57 = 5,864.82/x
3. Step 3: Cross multiply
   10,342.50x = 14,271.57 × 5,864.82
4. Step 4: Simplify right side
   10,342.50x = 83,700,189.17
5. Step 5: Solve for x
   x = 83,700,189.17/10,342.50
6. Step 6: Final answer
   x = 8,092.84