Finding the Fourth Proportional to 1,146.78, 1,719.36 and 569.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.78 : 1,719.36 = 569.34 : x
2. Step 2: Convert to fraction form
   1,146.78/1,719.36 = 569.34/x
3. Step 3: Cross multiply
   1,146.78x = 1,719.36 × 569.34
4. Step 4: Simplify right side
   1,146.78x = 978,900.42
5. Step 5: Solve for x
   x = 978,900.42/1,146.78
6. Step 6: Final answer
   x = 853.61