Finding the Fourth Proportional to 1,030.71, 1,422.37 and 588.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.71 : 1,422.37 = 588.58 : x
2. Step 2: Convert to fraction form
   1,030.71/1,422.37 = 588.58/x
3. Step 3: Cross multiply
   1,030.71x = 1,422.37 × 588.58
4. Step 4: Simplify right side
   1,030.71x = 837,178.53
5. Step 5: Solve for x
   x = 837,178.53/1,030.71
6. Step 6: Final answer
   x = 812.23