Finding the Fourth Proportional to 2,632.64, 3,949.70 and 783.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.64 : 3,949.70 = 783.83 : x
2. Step 2: Convert to fraction form
   2,632.64/3,949.70 = 783.83/x
3. Step 3: Cross multiply
   2,632.64x = 3,949.70 × 783.83
4. Step 4: Simplify right side
   2,632.64x = 3,095,899.31
5. Step 5: Solve for x
   x = 3,095,899.31/2,632.64
6. Step 6: Final answer
   x = 1,175.97