Finding the Fourth Proportional to 1,020.82, 1,530.61 and 692.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.82 : 1,530.61 = 692.16 : x
2. Step 2: Convert to fraction form
   1,020.82/1,530.61 = 692.16/x
3. Step 3: Cross multiply
   1,020.82x = 1,530.61 × 692.16
4. Step 4: Simplify right side
   1,020.82x = 1,059,427.02
5. Step 5: Solve for x
   x = 1,059,427.02/1,020.82
6. Step 6: Final answer
   x = 1,037.82