Finding the Fourth Proportional to 3,843.53, 5,300.54 and 2,565.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,843.53 : 5,300.54 = 2,565.16 : x
2. Step 2: Convert to fraction form
   3,843.53/5,300.54 = 2,565.16/x
3. Step 3: Cross multiply
   3,843.53x = 5,300.54 × 2,565.16
4. Step 4: Simplify right side
   3,843.53x = 13,596,693.86
5. Step 5: Solve for x
   x = 13,596,693.86/3,843.53
6. Step 6: Final answer
   x = 3,537.55