Finding the Fourth Proportional to 6,586.65, 9,085.37 and 3,792.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586.65 : 9,085.37 = 3,792.15 : x
2. Step 2: Convert to fraction form
   6,586.65/9,085.37 = 3,792.15/x
3. Step 3: Cross multiply
   6,586.65x = 9,085.37 × 3,792.15
4. Step 4: Simplify right side
   6,586.65x = 34,453,066.88
5. Step 5: Solve for x
   x = 34,453,066.88/6,586.65
6. Step 6: Final answer
   x = 5,230.74