Finding the Fourth Proportional to 1,802.05, 2,486.24 and 1,005.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.05 : 2,486.24 = 1,005.24 : x
2. Step 2: Convert to fraction form
   1,802.05/2,486.24 = 1,005.24/x
3. Step 3: Cross multiply
   1,802.05x = 2,486.24 × 1,005.24
4. Step 4: Simplify right side
   1,802.05x = 2,499,275.30
5. Step 5: Solve for x
   x = 2,499,275.30/1,802.05
6. Step 6: Final answer
   x = 1,386.91