Finding the Fourth Proportional to 1,336.80, 1,842.82 and 1,005.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,336.80 : 1,842.82 = 1,005.24 : x
2. Step 2: Convert to fraction form
   1,336.80/1,842.82 = 1,005.24/x
3. Step 3: Cross multiply
   1,336.80x = 1,842.82 × 1,005.24
4. Step 4: Simplify right side
   1,336.80x = 1,852,476.38
5. Step 5: Solve for x
   x = 1,852,476.38/1,336.80
6. Step 6: Final answer
   x = 1,385.75