Finding the Fourth Proportional to 1,564.61, 2,345.31 and 871.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.61 : 2,345.31 = 871.58 : x
2. Step 2: Convert to fraction form
   1,564.61/2,345.31 = 871.58/x
3. Step 3: Cross multiply
   1,564.61x = 2,345.31 × 871.58
4. Step 4: Simplify right side
   1,564.61x = 2,044,113.56
5. Step 5: Solve for x
   x = 2,044,113.56/1,564.61
6. Step 6: Final answer
   x = 1,306.47