Finding the Fourth Proportional to 1,404.69, 1,938.49 and 775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.69 : 1,938.49 = 775.25 : x
2. Step 2: Convert to fraction form
   1,404.69/1,938.49 = 775.25/x
3. Step 3: Cross multiply
   1,404.69x = 1,938.49 × 775.25
4. Step 4: Simplify right side
   1,404.69x = 1,502,814.37
5. Step 5: Solve for x
   x = 1,502,814.37/1,404.69
6. Step 6: Final answer
   x = 1,069.85