Finding the Fourth Proportional to 1,359.94, 1,877.10 and 800.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.94 : 1,877.10 = 800.42 : x
2. Step 2: Convert to fraction form
   1,359.94/1,877.10 = 800.42/x
3. Step 3: Cross multiply
   1,359.94x = 1,877.10 × 800.42
4. Step 4: Simplify right side
   1,359.94x = 1,502,468.38
5. Step 5: Solve for x
   x = 1,502,468.38/1,359.94
6. Step 6: Final answer
   x = 1,104.80