Finding the Fourth Proportional to 5,085.87, 7,020.78 and 3,827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,085.87 : 7,020.78 = 3,827.31 : x
2. Step 2: Convert to fraction form
   5,085.87/7,020.78 = 3,827.31/x
3. Step 3: Cross multiply
   5,085.87x = 7,020.78 × 3,827.31
4. Step 4: Simplify right side
   5,085.87x = 26,870,701.50
5. Step 5: Solve for x
   x = 26,870,701.50/5,085.87
6. Step 6: Final answer
   x = 5,283.40