Finding the Fourth Proportional to 1,564.62, 2,342.82 and 1,257.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.62 : 2,342.82 = 1,257.53 : x
2. Step 2: Convert to fraction form
   1,564.62/2,342.82 = 1,257.53/x
3. Step 3: Cross multiply
   1,564.62x = 2,342.82 × 1,257.53
4. Step 4: Simplify right side
   1,564.62x = 2,946,159.44
5. Step 5: Solve for x
   x = 2,946,159.44/1,564.62
6. Step 6: Final answer
   x = 1,882.99