Finding the Fourth Proportional to 10,585.30, 14,608.37 and 5,869.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.30 : 14,608.37 = 5,869.58 : x
2. Step 2: Convert to fraction form
   10,585.30/14,608.37 = 5,869.58/x
3. Step 3: Cross multiply
   10,585.30x = 14,608.37 × 5,869.58
4. Step 4: Simplify right side
   10,585.30x = 85,745,029.73
5. Step 5: Solve for x
   x = 85,745,029.73/10,585.30
6. Step 6: Final answer
   x = 8,100.39