Finding the Fourth Proportional to 1,022.18, 1,530.75 and 588.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.18 : 1,530.75 = 588.02 : x
2. Step 2: Convert to fraction form
   1,022.18/1,530.75 = 588.02/x
3. Step 3: Cross multiply
   1,022.18x = 1,530.75 × 588.02
4. Step 4: Simplify right side
   1,022.18x = 900,111.62
5. Step 5: Solve for x
   x = 900,111.62/1,022.18
6. Step 6: Final answer
   x = 880.58