Finding the Fourth Proportional to 1,564.50, 2,157.75 and 1,066.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,157.75 = 1,066.62 : x
2. Step 2: Convert to fraction form
   1,564.50/2,157.75 = 1,066.62/x
3. Step 3: Cross multiply
   1,564.50x = 2,157.75 × 1,066.62
4. Step 4: Simplify right side
   1,564.50x = 2,301,499.31
5. Step 5: Solve for x
   x = 2,301,499.31/1,564.50
6. Step 6: Final answer
   x = 1,471.08