Finding the Fourth Proportional to 2,774.82, 3,827.34 and 1,978.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.82 : 3,827.34 = 1,978.05 : x
2. Step 2: Convert to fraction form
   2,774.82/3,827.34 = 1,978.05/x
3. Step 3: Cross multiply
   2,774.82x = 3,827.34 × 1,978.05
4. Step 4: Simplify right side
   2,774.82x = 7,570,669.89
5. Step 5: Solve for x
   x = 7,570,669.89/2,774.82
6. Step 6: Final answer
   x = 2,728.35