Finding the Fourth Proportional to 1,238.15, 1,858.16 and 589.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.15 : 1,858.16 = 589.34 : x
2. Step 2: Convert to fraction form
   1,238.15/1,858.16 = 589.34/x
3. Step 3: Cross multiply
   1,238.15x = 1,858.16 × 589.34
4. Step 4: Simplify right side
   1,238.15x = 1,095,075.78
5. Step 5: Solve for x
   x = 1,095,075.78/1,238.15
6. Step 6: Final answer
   x = 884.45