Finding the Fourth Proportional to 1,412.74, 1,950.10 and 853.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.74 : 1,950.10 = 853.23 : x
2. Step 2: Convert to fraction form
   1,412.74/1,950.10 = 853.23/x
3. Step 3: Cross multiply
   1,412.74x = 1,950.10 × 853.23
4. Step 4: Simplify right side
   1,412.74x = 1,663,883.82
5. Step 5: Solve for x
   x = 1,663,883.82/1,412.74
6. Step 6: Final answer
   x = 1,177.77