Finding the Fourth Proportional to 1,419.85, 1,958.71 and 852.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.85 : 1,958.71 = 852.40 : x
2. Step 2: Convert to fraction form
   1,419.85/1,958.71 = 852.40/x
3. Step 3: Cross multiply
   1,419.85x = 1,958.71 × 852.40
4. Step 4: Simplify right side
   1,419.85x = 1,669,604.40
5. Step 5: Solve for x
   x = 1,669,604.40/1,419.85
6. Step 6: Final answer
   x = 1,175.90