Finding the Fourth Proportional to 1,932.04, 2,896.74 and 1,280.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.04 : 2,896.74 = 1,280.80 : x
2. Step 2: Convert to fraction form
   1,932.04/2,896.74 = 1,280.80/x
3. Step 3: Cross multiply
   1,932.04x = 2,896.74 × 1,280.80
4. Step 4: Simplify right side
   1,932.04x = 3,710,144.59
5. Step 5: Solve for x
   x = 3,710,144.59/1,932.04
6. Step 6: Final answer
   x = 1,920.32