Finding the Fourth Proportional to 2,056.56, 3,084.96 and 902.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.56 : 3,084.96 = 902.16 : x
2. Step 2: Convert to fraction form
   2,056.56/3,084.96 = 902.16/x
3. Step 3: Cross multiply
   2,056.56x = 3,084.96 × 902.16
4. Step 4: Simplify right side
   2,056.56x = 2,783,127.51
5. Step 5: Solve for x
   x = 2,783,127.51/2,056.56
6. Step 6: Final answer
   x = 1,353.29