Finding the Fourth Proportional to 1,364.07, 1,882.56 and 840.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.07 : 1,882.56 = 840.09 : x
2. Step 2: Convert to fraction form
   1,364.07/1,882.56 = 840.09/x
3. Step 3: Cross multiply
   1,364.07x = 1,882.56 × 840.09
4. Step 4: Simplify right side
   1,364.07x = 1,581,519.83
5. Step 5: Solve for x
   x = 1,581,519.83/1,364.07
6. Step 6: Final answer
   x = 1,159.41