Finding the Fourth Proportional to 3,627.12, 5,003.78 and 2,564.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627.12 : 5,003.78 = 2,564.94 : x
2. Step 2: Convert to fraction form
   3,627.12/5,003.78 = 2,564.94/x
3. Step 3: Cross multiply
   3,627.12x = 5,003.78 × 2,564.94
4. Step 4: Simplify right side
   3,627.12x = 12,834,382.65
5. Step 5: Solve for x
   x = 12,834,382.65/3,627.12
6. Step 6: Final answer
   x = 3,538.45