Finding the Fourth Proportional to 1,406.54, 1,940.78 and 902.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.54 : 1,940.78 = 902.84 : x
2. Step 2: Convert to fraction form
   1,406.54/1,940.78 = 902.84/x
3. Step 3: Cross multiply
   1,406.54x = 1,940.78 × 902.84
4. Step 4: Simplify right side
   1,406.54x = 1,752,213.82
5. Step 5: Solve for x
   x = 1,752,213.82/1,406.54
6. Step 6: Final answer
   x = 1,245.76