Finding the Fourth Proportional to 1,858.71, 2,564.92 and 1,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,858.71 : 2,564.92 = 1,019.25 : x
2. Step 2: Convert to fraction form
   1,858.71/2,564.92 = 1,019.25/x
3. Step 3: Cross multiply
   1,858.71x = 2,564.92 × 1,019.25
4. Step 4: Simplify right side
   1,858.71x = 2,614,290.25
5. Step 5: Solve for x
   x = 2,614,290.25/1,858.71
6. Step 6: Final answer
   x = 1,406.51