Finding the Fourth Proportional to 1,564.81, 2,158.61 and 1,269.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.81 : 2,158.61 = 1,269.56 : x
2. Step 2: Convert to fraction form
   1,564.81/2,158.61 = 1,269.56/x
3. Step 3: Cross multiply
   1,564.81x = 2,158.61 × 1,269.56
4. Step 4: Simplify right side
   1,564.81x = 2,740,484.91
5. Step 5: Solve for x
   x = 2,740,484.91/1,564.81
6. Step 6: Final answer
   x = 1,751.32