Finding the Fourth Proportional to 2,630.50, 3,946.16 and 781.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,630.50 : 3,946.16 = 781.43 : x
2. Step 2: Convert to fraction form
   2,630.50/3,946.16 = 781.43/x
3. Step 3: Cross multiply
   2,630.50x = 3,946.16 × 781.43
4. Step 4: Simplify right side
   2,630.50x = 3,083,647.81
5. Step 5: Solve for x
   x = 3,083,647.81/2,630.50
6. Step 6: Final answer
   x = 1,172.27