Finding the Fourth Proportional to 10,302.50, 14,215.83 and 5,824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.50 : 14,215.83 = 5,824.82 : x
2. Step 2: Convert to fraction form
   10,302.50/14,215.83 = 5,824.82/x
3. Step 3: Cross multiply
   10,302.50x = 14,215.83 × 5,824.82
4. Step 4: Simplify right side
   10,302.50x = 82,804,650.90
5. Step 5: Solve for x
   x = 82,804,650.90/10,302.50
6. Step 6: Final answer
   x = 8,037.34