Finding the Fourth Proportional to 1,404.24, 1,938.65 and 932.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.24 : 1,938.65 = 932.78 : x
2. Step 2: Convert to fraction form
   1,404.24/1,938.65 = 932.78/x
3. Step 3: Cross multiply
   1,404.24x = 1,938.65 × 932.78
4. Step 4: Simplify right side
   1,404.24x = 1,808,333.95
5. Step 5: Solve for x
   x = 1,808,333.95/1,404.24
6. Step 6: Final answer
   x = 1,287.77