Finding the Fourth Proportional to 10,596.59, 14,622.99 and 5,816.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.59 : 14,622.99 = 5,816.53 : x
2. Step 2: Convert to fraction form
   10,596.59/14,622.99 = 5,816.53/x
3. Step 3: Cross multiply
   10,596.59x = 14,622.99 × 5,816.53
4. Step 4: Simplify right side
   10,596.59x = 85,055,001.45
5. Step 5: Solve for x
   x = 85,055,001.45/10,596.59
6. Step 6: Final answer
   x = 8,026.64