Finding the Fourth Proportional to 1,858.55, 2,564.75 and 1,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,858.55 : 2,564.75 = 1,019.25 : x
2. Step 2: Convert to fraction form
   1,858.55/2,564.75 = 1,019.25/x
3. Step 3: Cross multiply
   1,858.55x = 2,564.75 × 1,019.25
4. Step 4: Simplify right side
   1,858.55x = 2,614,123.99
5. Step 5: Solve for x
   x = 2,614,123.99/1,858.55
6. Step 6: Final answer
   x = 1,406.54