Finding the Fourth Proportional to 2,056.54, 3,084.78 and 496.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.54 : 3,084.78 = 496.53 : x
2. Step 2: Convert to fraction form
   2,056.54/3,084.78 = 496.53/x
3. Step 3: Cross multiply
   2,056.54x = 3,084.78 × 496.53
4. Step 4: Simplify right side
   2,056.54x = 1,531,667.91
5. Step 5: Solve for x
   x = 1,531,667.91/2,056.54
6. Step 6: Final answer
   x = 744.78