Finding the Fourth Proportional to 1,847.50, 2,549.55 and 1,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,847.50 : 2,549.55 = 1,019.50 : x
2. Step 2: Convert to fraction form
   1,847.50/2,549.55 = 1,019.50/x
3. Step 3: Cross multiply
   1,847.50x = 2,549.55 × 1,019.50
4. Step 4: Simplify right side
   1,847.50x = 2,599,266.23
5. Step 5: Solve for x
   x = 2,599,266.23/1,847.50
6. Step 6: Final answer
   x = 1,406.91