Finding the Fourth Proportional to 1,030.42, 1,422.03 and 588.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.42 : 1,422.03 = 588.41 : x
2. Step 2: Convert to fraction form
   1,030.42/1,422.03 = 588.41/x
3. Step 3: Cross multiply
   1,030.42x = 1,422.03 × 588.41
4. Step 4: Simplify right side
   1,030.42x = 836,736.67
5. Step 5: Solve for x
   x = 836,736.67/1,030.42
6. Step 6: Final answer
   x = 812.03