Finding the Fourth Proportional to 1,022.60, 1,535.59 and 691.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.60 : 1,535.59 = 691.18 : x
2. Step 2: Convert to fraction form
   1,022.60/1,535.59 = 691.18/x
3. Step 3: Cross multiply
   1,022.60x = 1,535.59 × 691.18
4. Step 4: Simplify right side
   1,022.60x = 1,061,369.10
5. Step 5: Solve for x
   x = 1,061,369.10/1,022.60
6. Step 6: Final answer
   x = 1,037.91