Finding the Fourth Proportional to 1,412.79, 1,949.71 and 853.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.79 : 1,949.71 = 853.24 : x
2. Step 2: Convert to fraction form
   1,412.79/1,949.71 = 853.24/x
3. Step 3: Cross multiply
   1,412.79x = 1,949.71 × 853.24
4. Step 4: Simplify right side
   1,412.79x = 1,663,570.56
5. Step 5: Solve for x
   x = 1,663,570.56/1,412.79
6. Step 6: Final answer
   x = 1,177.51