Finding the Fourth Proportional to 10,585.12, 14,608.20 and 5,869.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.12 : 14,608.20 = 5,869.84 : x
2. Step 2: Convert to fraction form
   10,585.12/14,608.20 = 5,869.84/x
3. Step 3: Cross multiply
   10,585.12x = 14,608.20 × 5,869.84
4. Step 4: Simplify right side
   10,585.12x = 85,747,796.69
5. Step 5: Solve for x
   x = 85,747,796.69/10,585.12
6. Step 6: Final answer
   x = 8,100.79