Finding the Fourth Proportional to 1,404.61, 1,938.28 and 775.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.61 : 1,938.28 = 775.14 : x
2. Step 2: Convert to fraction form
   1,404.61/1,938.28 = 775.14/x
3. Step 3: Cross multiply
   1,404.61x = 1,938.28 × 775.14
4. Step 4: Simplify right side
   1,404.61x = 1,502,438.36
5. Step 5: Solve for x
   x = 1,502,438.36/1,404.61
6. Step 6: Final answer
   x = 1,069.65