Finding the Fourth Proportional to 10,585.25, 14,606.99 and 5,869.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.25 : 14,606.99 = 5,869.53 : x
2. Step 2: Convert to fraction form
   10,585.25/14,606.99 = 5,869.53/x
3. Step 3: Cross multiply
   10,585.25x = 14,606.99 × 5,869.53
4. Step 4: Simplify right side
   10,585.25x = 85,736,166.01
5. Step 5: Solve for x
   x = 85,736,166.01/10,585.25
6. Step 6: Final answer
   x = 8,099.59