Finding the Fourth Proportional to 1,205.10, 1,807.38 and 588.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.10 : 1,807.38 = 588.42 : x
2. Step 2: Convert to fraction form
   1,205.10/1,807.38 = 588.42/x
3. Step 3: Cross multiply
   1,205.10x = 1,807.38 × 588.42
4. Step 4: Simplify right side
   1,205.10x = 1,063,498.54
5. Step 5: Solve for x
   x = 1,063,498.54/1,205.10
6. Step 6: Final answer
   x = 882.50