Finding the Fourth Proportional to 2,774.63, 3,827.67 and 1,878.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.63 : 3,827.67 = 1,878.05 : x
2. Step 2: Convert to fraction form
   2,774.63/3,827.67 = 1,878.05/x
3. Step 3: Cross multiply
   2,774.63x = 3,827.67 × 1,878.05
4. Step 4: Simplify right side
   2,774.63x = 7,188,555.64
5. Step 5: Solve for x
   x = 7,188,555.64/2,774.63
6. Step 6: Final answer
   x = 2,590.82