Finding the Fourth Proportional to 10,585.69, 14,608.55 and 5,870.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 14,608.55 = 5,870.27 : x
2. Step 2: Convert to fraction form
   10,585.69/14,608.55 = 5,870.27/x
3. Step 3: Cross multiply
   10,585.69x = 14,608.55 × 5,870.27
4. Step 4: Simplify right side
   10,585.69x = 85,756,184.01
5. Step 5: Solve for x
   x = 85,756,184.01/10,585.69
6. Step 6: Final answer
   x = 8,101.14