Finding the Fourth Proportional to 10,596.06, 15,896.49 and 5,663.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.06 : 15,896.49 = 5,663.10 : x
2. Step 2: Convert to fraction form
   10,596.06/15,896.49 = 5,663.10/x
3. Step 3: Cross multiply
   10,596.06x = 15,896.49 × 5,663.10
4. Step 4: Simplify right side
   10,596.06x = 90,023,412.52
5. Step 5: Solve for x
   x = 90,023,412.52/10,596.06
6. Step 6: Final answer
   x = 8,495.93