Finding the Fourth Proportional to 1,205.98, 1,807.70 and 588.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.98 : 1,807.70 = 588.83 : x
2. Step 2: Convert to fraction form
   1,205.98/1,807.70 = 588.83/x
3. Step 3: Cross multiply
   1,205.98x = 1,807.70 × 588.83
4. Step 4: Simplify right side
   1,205.98x = 1,064,433.98
5. Step 5: Solve for x
   x = 1,064,433.98/1,205.98
6. Step 6: Final answer
   x = 882.63