Finding the Fourth Proportional to 10,584.86, 14,608.15 and 5,870.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.86 : 14,608.15 = 5,870.05 : x
2. Step 2: Convert to fraction form
   10,584.86/14,608.15 = 5,870.05/x
3. Step 3: Cross multiply
   10,584.86x = 14,608.15 × 5,870.05
4. Step 4: Simplify right side
   10,584.86x = 85,750,519.71
5. Step 5: Solve for x
   x = 85,750,519.71/10,584.86
6. Step 6: Final answer
   x = 8,101.25