Finding the Fourth Proportional to 1,238.83, 1,858.25 and 590.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.83 : 1,858.25 = 590.02 : x
2. Step 2: Convert to fraction form
   1,238.83/1,858.25 = 590.02/x
3. Step 3: Cross multiply
   1,238.83x = 1,858.25 × 590.02
4. Step 4: Simplify right side
   1,238.83x = 1,096,401.71
5. Step 5: Solve for x
   x = 1,096,401.71/1,238.83
6. Step 6: Final answer
   x = 885.03