Finding the Fourth Proportional to 2,537.69, 3,805.10 and 1,852.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.69 : 3,805.10 = 1,852.25 : x
2. Step 2: Convert to fraction form
   2,537.69/3,805.10 = 1,852.25/x
3. Step 3: Cross multiply
   2,537.69x = 3,805.10 × 1,852.25
4. Step 4: Simplify right side
   2,537.69x = 7,047,987.21
5. Step 5: Solve for x
   x = 7,047,987.21/2,537.69
6. Step 6: Final answer
   x = 2,777.32