Finding the Fourth Proportional to 2,538.46, 3,810.09 and 1,385.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.46 : 3,810.09 = 1,385.02 : x
2. Step 2: Convert to fraction form
   2,538.46/3,810.09 = 1,385.02/x
3. Step 3: Cross multiply
   2,538.46x = 3,810.09 × 1,385.02
4. Step 4: Simplify right side
   2,538.46x = 5,277,050.85
5. Step 5: Solve for x
   x = 5,277,050.85/2,538.46
6. Step 6: Final answer
   x = 2,078.84