Finding the Fourth Proportional to 1,564.72, 2,158.82 and 974.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.72 : 2,158.82 = 974.76 : x
2. Step 2: Convert to fraction form
   1,564.72/2,158.82 = 974.76/x
3. Step 3: Cross multiply
   1,564.72x = 2,158.82 × 974.76
4. Step 4: Simplify right side
   1,564.72x = 2,104,331.38
5. Step 5: Solve for x
   x = 2,104,331.38/1,564.72
6. Step 6: Final answer
   x = 1,344.86