Finding the Fourth Proportional to 1,030.21, 1,421.68 and 588.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.21 : 1,421.68 = 588.08 : x
2. Step 2: Convert to fraction form
   1,030.21/1,421.68 = 588.08/x
3. Step 3: Cross multiply
   1,030.21x = 1,421.68 × 588.08
4. Step 4: Simplify right side
   1,030.21x = 836,061.57
5. Step 5: Solve for x
   x = 836,061.57/1,030.21
6. Step 6: Final answer
   x = 811.54