Finding the Fourth Proportional to 1,653.81, 2,477.34 and 923.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.81 : 2,477.34 = 923.78 : x
2. Step 2: Convert to fraction form
   1,653.81/2,477.34 = 923.78/x
3. Step 3: Cross multiply
   1,653.81x = 2,477.34 × 923.78
4. Step 4: Simplify right side
   1,653.81x = 2,288,504.76
5. Step 5: Solve for x
   x = 2,288,504.76/1,653.81
6. Step 6: Final answer
   x = 1,383.78