Finding the Fourth Proportional to 1,404.64, 1,938.37 and 775.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.64 : 1,938.37 = 775.22 : x
2. Step 2: Convert to fraction form
   1,404.64/1,938.37 = 775.22/x
3. Step 3: Cross multiply
   1,404.64x = 1,938.37 × 775.22
4. Step 4: Simplify right side
   1,404.64x = 1,502,651.56
5. Step 5: Solve for x
   x = 1,502,651.56/1,404.64
6. Step 6: Final answer
   x = 1,069.78