Finding the Fourth Proportional to 2,774.16, 3,827.42 and 1,830.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.16 : 3,827.42 = 1,830.42 : x
2. Step 2: Convert to fraction form
   2,774.16/3,827.42 = 1,830.42/x
3. Step 3: Cross multiply
   2,774.16x = 3,827.42 × 1,830.42
4. Step 4: Simplify right side
   2,774.16x = 7,005,776.96
5. Step 5: Solve for x
   x = 7,005,776.96/2,774.16
6. Step 6: Final answer
   x = 2,525.37