Finding the Fourth Proportional to 2,631.06, 3,946.50 and 782.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,631.06 : 3,946.50 = 782.18 : x
2. Step 2: Convert to fraction form
   2,631.06/3,946.50 = 782.18/x
3. Step 3: Cross multiply
   2,631.06x = 3,946.50 × 782.18
4. Step 4: Simplify right side
   2,631.06x = 3,086,877.34
5. Step 5: Solve for x
   x = 3,086,877.34/2,631.06
6. Step 6: Final answer
   x = 1,173.25