Finding the Fourth Proportional to 1,404.96, 1,938.85 and 775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.96 : 1,938.85 = 775.50 : x
2. Step 2: Convert to fraction form
   1,404.96/1,938.85 = 775.50/x
3. Step 3: Cross multiply
   1,404.96x = 1,938.85 × 775.50
4. Step 4: Simplify right side
   1,404.96x = 1,503,578.18
5. Step 5: Solve for x
   x = 1,503,578.18/1,404.96
6. Step 6: Final answer
   x = 1,070.19