Finding the Fourth Proportional to 2,564.35, 3,538.80 and 1,385.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.35 : 3,538.80 = 1,385.42 : x
2. Step 2: Convert to fraction form
   2,564.35/3,538.80 = 1,385.42/x
3. Step 3: Cross multiply
   2,564.35x = 3,538.80 × 1,385.42
4. Step 4: Simplify right side
   2,564.35x = 4,902,724.30
5. Step 5: Solve for x
   x = 4,902,724.30/2,564.35
6. Step 6: Final answer
   x = 1,911.88