Finding the Fourth Proportional to 2,051.78, 3,077.76 and 1,078.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,051.78 : 3,077.76 = 1,078.16 : x
2. Step 2: Convert to fraction form
   2,051.78/3,077.76 = 1,078.16/x
3. Step 3: Cross multiply
   2,051.78x = 3,077.76 × 1,078.16
4. Step 4: Simplify right side
   2,051.78x = 3,318,317.72
5. Step 5: Solve for x
   x = 3,318,317.72/2,051.78
6. Step 6: Final answer
   x = 1,617.29