Finding the Fourth Proportional to 1,030.80, 1,422.54 and 588.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.80 : 1,422.54 = 588.83 : x
2. Step 2: Convert to fraction form
   1,030.80/1,422.54 = 588.83/x
3. Step 3: Cross multiply
   1,030.80x = 1,422.54 × 588.83
4. Step 4: Simplify right side
   1,030.80x = 837,627.12
5. Step 5: Solve for x
   x = 837,627.12/1,030.80
6. Step 6: Final answer
   x = 812.60