Finding the Fourth Proportional to 2,630.73, 3,946.46 and 782.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,630.73 : 3,946.46 = 782.00 : x
2. Step 2: Convert to fraction form
   2,630.73/3,946.46 = 782.00/x
3. Step 3: Cross multiply
   2,630.73x = 3,946.46 × 782.00
4. Step 4: Simplify right side
   2,630.73x = 3,086,108.08
5. Step 5: Solve for x
   x = 3,086,108.08/2,630.73
6. Step 6: Final answer
   x = 1,173.10