Finding the Fourth Proportional to 10,586.48, 14,608 and 5,870.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.48 : 14,608 = 5,870.72 : x
2. Step 2: Convert to fraction form
   10,586.48/14,608 = 5,870.72/x
3. Step 3: Cross multiply
   10,586.48x = 14,608 × 5,870.72
4. Step 4: Simplify right side
   10,586.48x = 85,759,477.76
5. Step 5: Solve for x
   x = 85,759,477.76/10,586.48
6. Step 6: Final answer
   x = 8,100.85