Finding the Fourth Proportional to 10,626.96, 14,664.72 and 5,911.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626.96 : 14,664.72 = 5,911.20 : x
2. Step 2: Convert to fraction form
   10,626.96/14,664.72 = 5,911.20/x
3. Step 3: Cross multiply
   10,626.96x = 14,664.72 × 5,911.20
4. Step 4: Simplify right side
   10,626.96x = 86,686,092.86
5. Step 5: Solve for x
   x = 86,686,092.86/10,626.96
6. Step 6: Final answer
   x = 8,157.19