Finding the Fourth Proportional to 1,022.63, 1,532.73 and 588.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.63 : 1,532.73 = 588.89 : x
2. Step 2: Convert to fraction form
   1,022.63/1,532.73 = 588.89/x
3. Step 3: Cross multiply
   1,022.63x = 1,532.73 × 588.89
4. Step 4: Simplify right side
   1,022.63x = 902,609.37
5. Step 5: Solve for x
   x = 902,609.37/1,022.63
6. Step 6: Final answer
   x = 882.64