Finding the Fourth Proportional to 10,612.16, 14,644.56 and 5,896.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,612.16 : 14,644.56 = 5,896.16 : x
2. Step 2: Convert to fraction form
   10,612.16/14,644.56 = 5,896.16/x
3. Step 3: Cross multiply
   10,612.16x = 14,644.56 × 5,896.16
4. Step 4: Simplify right side
   10,612.16x = 86,346,668.89
5. Step 5: Solve for x
   x = 86,346,668.89/10,612.16
6. Step 6: Final answer
   x = 8,136.58