Finding the Fourth Proportional to 1,870.20, 2,580.78 and 1,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,870.20 : 2,580.78 = 1,084.50 : x
2. Step 2: Convert to fraction form
   1,870.20/2,580.78 = 1,084.50/x
3. Step 3: Cross multiply
   1,870.20x = 2,580.78 × 1,084.50
4. Step 4: Simplify right side
   1,870.20x = 2,798,855.91
5. Step 5: Solve for x
   x = 2,798,855.91/1,870.20
6. Step 6: Final answer
   x = 1,496.55