Finding the Fourth Proportional to 1,020.75, 1,410.46 and 754.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.75 : 1,410.46 = 754.82 : x
2. Step 2: Convert to fraction form
   1,020.75/1,410.46 = 754.82/x
3. Step 3: Cross multiply
   1,020.75x = 1,410.46 × 754.82
4. Step 4: Simplify right side
   1,020.75x = 1,064,644.01
5. Step 5: Solve for x
   x = 1,064,644.01/1,020.75
6. Step 6: Final answer
   x = 1,043.00