Finding the Fourth Proportional to 1,030.10, 1,421.62 and 588.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.10 : 1,421.62 = 588.14 : x
2. Step 2: Convert to fraction form
   1,030.10/1,421.62 = 588.14/x
3. Step 3: Cross multiply
   1,030.10x = 1,421.62 × 588.14
4. Step 4: Simplify right side
   1,030.10x = 836,111.59
5. Step 5: Solve for x
   x = 836,111.59/1,030.10
6. Step 6: Final answer
   x = 811.68