Finding the Fourth Proportional to 2,535.30, 3,801.92 and 779.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.30 : 3,801.92 = 779.88 : x
2. Step 2: Convert to fraction form
   2,535.30/3,801.92 = 779.88/x
3. Step 3: Cross multiply
   2,535.30x = 3,801.92 × 779.88
4. Step 4: Simplify right side
   2,535.30x = 2,965,041.37
5. Step 5: Solve for x
   x = 2,965,041.37/2,535.30
6. Step 6: Final answer
   x = 1,169.50