Finding the Fourth Proportional to 10,581.78, 14,602.86 and 5,865.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.78 : 14,602.86 = 5,865.96 : x
2. Step 2: Convert to fraction form
   10,581.78/14,602.86 = 5,865.96/x
3. Step 3: Cross multiply
   10,581.78x = 14,602.86 × 5,865.96
4. Step 4: Simplify right side
   10,581.78x = 85,659,792.65
5. Step 5: Solve for x
   x = 85,659,792.65/10,581.78
6. Step 6: Final answer
   x = 8,095.03