Finding the Fourth Proportional to 3,685.15, 5,076.86 and 2,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.15 : 5,076.86 = 2,564.16 : x
2. Step 2: Convert to fraction form
   3,685.15/5,076.86 = 2,564.16/x
3. Step 3: Cross multiply
   3,685.15x = 5,076.86 × 2,564.16
4. Step 4: Simplify right side
   3,685.15x = 13,017,874.93
5. Step 5: Solve for x
   x = 13,017,874.93/3,685.15
6. Step 6: Final answer
   x = 3,532.52