Finding the Fourth Proportional to 2,648.16, 3,971.34 and 892.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.16 : 3,971.34 = 892.80 : x
2. Step 2: Convert to fraction form
   2,648.16/3,971.34 = 892.80/x
3. Step 3: Cross multiply
   2,648.16x = 3,971.34 × 892.80
4. Step 4: Simplify right side
   2,648.16x = 3,545,612.35
5. Step 5: Solve for x
   x = 3,545,612.35/2,648.16
6. Step 6: Final answer
   x = 1,338.90