Finding the Fourth Proportional to 2,564.02, 3,538.34 and 1,385.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.02 : 3,538.34 = 1,385.09 : x
2. Step 2: Convert to fraction form
   2,564.02/3,538.34 = 1,385.09/x
3. Step 3: Cross multiply
   2,564.02x = 3,538.34 × 1,385.09
4. Step 4: Simplify right side
   2,564.02x = 4,900,913.20
5. Step 5: Solve for x
   x = 4,900,913.20/2,564.02
6. Step 6: Final answer
   x = 1,911.42