Finding the Fourth Proportional to 1,030.27, 1,421.77 and 588.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.27 : 1,421.77 = 588.16 : x
2. Step 2: Convert to fraction form
   1,030.27/1,421.77 = 588.16/x
3. Step 3: Cross multiply
   1,030.27x = 1,421.77 × 588.16
4. Step 4: Simplify right side
   1,030.27x = 836,223.22
5. Step 5: Solve for x
   x = 836,223.22/1,030.27
6. Step 6: Final answer
   x = 811.66