Finding the Fourth Proportional to 2,564.06, 3,845.48 and 1,467.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.06 : 3,845.48 = 1,467.86 : x
2. Step 2: Convert to fraction form
   2,564.06/3,845.48 = 1,467.86/x
3. Step 3: Cross multiply
   2,564.06x = 3,845.48 × 1,467.86
4. Step 4: Simplify right side
   2,564.06x = 5,644,599.71
5. Step 5: Solve for x
   x = 5,644,599.71/2,564.06
6. Step 6: Final answer
   x = 2,201.43