Finding the Fourth Proportional to 1,030.35, 1,421.89 and 588.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.35 : 1,421.89 = 588.49 : x
2. Step 2: Convert to fraction form
   1,030.35/1,421.89 = 588.49/x
3. Step 3: Cross multiply
   1,030.35x = 1,421.89 × 588.49
4. Step 4: Simplify right side
   1,030.35x = 836,768.05
5. Step 5: Solve for x
   x = 836,768.05/1,030.35
6. Step 6: Final answer
   x = 812.12