Finding the Fourth Proportional to 1,364.58, 1,882.71 and 840.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.58 : 1,882.71 = 840.42 : x
2. Step 2: Convert to fraction form
   1,364.58/1,882.71 = 840.42/x
3. Step 3: Cross multiply
   1,364.58x = 1,882.71 × 840.42
4. Step 4: Simplify right side
   1,364.58x = 1,582,267.14
5. Step 5: Solve for x
   x = 1,582,267.14/1,364.58
6. Step 6: Final answer
   x = 1,159.53