Finding the Fourth Proportional to 1,365.58, 1,884.09 and 841.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.58 : 1,884.09 = 841.42 : x
2. Step 2: Convert to fraction form
   1,365.58/1,884.09 = 841.42/x
3. Step 3: Cross multiply
   1,365.58x = 1,884.09 × 841.42
4. Step 4: Simplify right side
   1,365.58x = 1,585,311.01
5. Step 5: Solve for x
   x = 1,585,311.01/1,365.58
6. Step 6: Final answer
   x = 1,160.91