Finding the Fourth Proportional to 10,596.30, 14,622.41 and 5,816.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.30 : 14,622.41 = 5,816.15 : x
2. Step 2: Convert to fraction form
   10,596.30/14,622.41 = 5,816.15/x
3. Step 3: Cross multiply
   10,596.30x = 14,622.41 × 5,816.15
4. Step 4: Simplify right side
   10,596.30x = 85,046,027.73
5. Step 5: Solve for x
   x = 85,046,027.73/10,596.30
6. Step 6: Final answer
   x = 8,026.01