Finding the Fourth Proportional to 1,030.50, 1,422.15 and 588.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.50 : 1,422.15 = 588.54 : x
2. Step 2: Convert to fraction form
   1,030.50/1,422.15 = 588.54/x
3. Step 3: Cross multiply
   1,030.50x = 1,422.15 × 588.54
4. Step 4: Simplify right side
   1,030.50x = 836,992.16
5. Step 5: Solve for x
   x = 836,992.16/1,030.50
6. Step 6: Final answer
   x = 812.22