Finding the Fourth Proportional to 1,858.39, 2,564.61 and 1,019.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,858.39 : 2,564.61 = 1,019.08 : x
2. Step 2: Convert to fraction form
   1,858.39/2,564.61 = 1,019.08/x
3. Step 3: Cross multiply
   1,858.39x = 2,564.61 × 1,019.08
4. Step 4: Simplify right side
   1,858.39x = 2,613,542.76
5. Step 5: Solve for x
   x = 2,613,542.76/1,858.39
6. Step 6: Final answer
   x = 1,406.35