Finding the Fourth Proportional to 2,564.39, 3,538.86 and 1,385.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.39 : 3,538.86 = 1,385.46 : x
2. Step 2: Convert to fraction form
   2,564.39/3,538.86 = 1,385.46/x
3. Step 3: Cross multiply
   2,564.39x = 3,538.86 × 1,385.46
4. Step 4: Simplify right side
   2,564.39x = 4,902,948.98
5. Step 5: Solve for x
   x = 4,902,948.98/2,564.39
6. Step 6: Final answer
   x = 1,911.93