Finding the Fourth Proportional to 1,404.71, 1,938.41 and 775.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.71 : 1,938.41 = 775.14 : x
2. Step 2: Convert to fraction form
   1,404.71/1,938.41 = 775.14/x
3. Step 3: Cross multiply
   1,404.71x = 1,938.41 × 775.14
4. Step 4: Simplify right side
   1,404.71x = 1,502,538.16
5. Step 5: Solve for x
   x = 1,502,538.16/1,404.71
6. Step 6: Final answer
   x = 1,069.64