Finding the Fourth Proportional to 2,633.63, 3,951.21 and 784.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.63 : 3,951.21 = 784.80 : x
2. Step 2: Convert to fraction form
   2,633.63/3,951.21 = 784.80/x
3. Step 3: Cross multiply
   2,633.63x = 3,951.21 × 784.80
4. Step 4: Simplify right side
   2,633.63x = 3,100,909.61
5. Step 5: Solve for x
   x = 3,100,909.61/2,633.63
6. Step 6: Final answer
   x = 1,177.43