Finding the Fourth Proportional to 1,365.83, 1,884.56 and 841.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.83 : 1,884.56 = 841.76 : x
2. Step 2: Convert to fraction form
   1,365.83/1,884.56 = 841.76/x
3. Step 3: Cross multiply
   1,365.83x = 1,884.56 × 841.76
4. Step 4: Simplify right side
   1,365.83x = 1,586,333.59
5. Step 5: Solve for x
   x = 1,586,333.59/1,365.83
6. Step 6: Final answer
   x = 1,161.45