Finding the Fourth Proportional to 1,404.80, 1,928.80 and 1,140.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.80 : 1,928.80 = 1,140.80 : x
2. Step 2: Convert to fraction form
   1,404.80/1,928.80 = 1,140.80/x
3. Step 3: Cross multiply
   1,404.80x = 1,928.80 × 1,140.80
4. Step 4: Simplify right side
   1,404.80x = 2,200,375.04
5. Step 5: Solve for x
   x = 2,200,375.04/1,404.80
6. Step 6: Final answer
   x = 1,566.33