Finding the Fourth Proportional to 6,766.32, 9,337.50 and 3,782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,766.32 : 9,337.50 = 3,782.12 : x
2. Step 2: Convert to fraction form
   6,766.32/9,337.50 = 3,782.12/x
3. Step 3: Cross multiply
   6,766.32x = 9,337.50 × 3,782.12
4. Step 4: Simplify right side
   6,766.32x = 35,315,545.50
5. Step 5: Solve for x
   x = 35,315,545.50/6,766.32
6. Step 6: Final answer
   x = 5,219.31