Finding the Fourth Proportional to 1,564.31, 2,157.81 and 974.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.31 : 2,157.81 = 974.72 : x
2. Step 2: Convert to fraction form
   1,564.31/2,157.81 = 974.72/x
3. Step 3: Cross multiply
   1,564.31x = 2,157.81 × 974.72
4. Step 4: Simplify right side
   1,564.31x = 2,103,265.96
5. Step 5: Solve for x
   x = 2,103,265.96/1,564.31
6. Step 6: Final answer
   x = 1,344.54