Finding the Fourth Proportional to 10,585, 14,607.30 and 5,869.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585 : 14,607.30 = 5,869.59 : x
2. Step 2: Convert to fraction form
   10,585/14,607.30 = 5,869.59/x
3. Step 3: Cross multiply
   10,585x = 14,607.30 × 5,869.59
4. Step 4: Simplify right side
   10,585x = 85,738,862.01
5. Step 5: Solve for x
   x = 85,738,862.01/10,585
6. Step 6: Final answer
   x = 8,100.03