Finding the Fourth Proportional to 1,858.63, 2,564.96 and 1,019.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,858.63 : 2,564.96 = 1,019.37 : x
2. Step 2: Convert to fraction form
   1,858.63/2,564.96 = 1,019.37/x
3. Step 3: Cross multiply
   1,858.63x = 2,564.96 × 1,019.37
4. Step 4: Simplify right side
   1,858.63x = 2,614,643.28
5. Step 5: Solve for x
   x = 2,614,643.28/1,858.63
6. Step 6: Final answer
   x = 1,406.76