Finding the Fourth Proportional to 1,164.42, 1,605.78 and 744.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.42 : 1,605.78 = 744.90 : x
2. Step 2: Convert to fraction form
   1,164.42/1,605.78 = 744.90/x
3. Step 3: Cross multiply
   1,164.42x = 1,605.78 × 744.90
4. Step 4: Simplify right side
   1,164.42x = 1,196,145.52
5. Step 5: Solve for x
   x = 1,196,145.52/1,164.42
6. Step 6: Final answer
   x = 1,027.25