Finding the Fourth Proportional to 2,564, 3,538.56 and 1,460

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 3,538.56 = 1,460 : x
2. Step 2: Convert to fraction form
   2,564/3,538.56 = 1,460/x
3. Step 3: Cross multiply
   2,564x = 3,538.56 × 1,460
4. Step 4: Simplify right side
   2,564x = 5,166,297.60
5. Step 5: Solve for x
   x = 5,166,297.60/2,564
6. Step 6: Final answer
   x = 2,014.94