Finding the Fourth Proportional to 10,580.96, 14,601.72 and 5,865.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.96 : 14,601.72 = 5,865.20 : x
2. Step 2: Convert to fraction form
   10,580.96/14,601.72 = 5,865.20/x
3. Step 3: Cross multiply
   10,580.96x = 14,601.72 × 5,865.20
4. Step 4: Simplify right side
   10,580.96x = 85,642,008.14
5. Step 5: Solve for x
   x = 85,642,008.14/10,580.96
6. Step 6: Final answer
   x = 8,093.97