Finding the Fourth Proportional to 5,948.72, 8,210.20 and 5,686.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,948.72 : 8,210.20 = 5,686.24 : x
2. Step 2: Convert to fraction form
   5,948.72/8,210.20 = 5,686.24/x
3. Step 3: Cross multiply
   5,948.72x = 8,210.20 × 5,686.24
4. Step 4: Simplify right side
   5,948.72x = 46,685,167.65
5. Step 5: Solve for x
   x = 46,685,167.65/5,948.72
6. Step 6: Final answer
   x = 7,847.93