Finding the Fourth Proportional to 3,766.82, 5,648.31 and 1,267.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.82 : 5,648.31 = 1,267.14 : x
2. Step 2: Convert to fraction form
   3,766.82/5,648.31 = 1,267.14/x
3. Step 3: Cross multiply
   3,766.82x = 5,648.31 × 1,267.14
4. Step 4: Simplify right side
   3,766.82x = 7,157,199.53
5. Step 5: Solve for x
   x = 7,157,199.53/3,766.82
6. Step 6: Final answer
   x = 1,900.06