Finding the Fourth Proportional to 2,564.15, 3,538.53 and 1,385.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.15 : 3,538.53 = 1,385.22 : x
2. Step 2: Convert to fraction form
   2,564.15/3,538.53 = 1,385.22/x
3. Step 3: Cross multiply
   2,564.15x = 3,538.53 × 1,385.22
4. Step 4: Simplify right side
   2,564.15x = 4,901,628.49
5. Step 5: Solve for x
   x = 4,901,628.49/2,564.15
6. Step 6: Final answer
   x = 1,911.60