Finding the Fourth Proportional to 1,802.14, 2,486.94 and 1,005.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.14 : 2,486.94 = 1,005.46 : x
2. Step 2: Convert to fraction form
   1,802.14/2,486.94 = 1,005.46/x
3. Step 3: Cross multiply
   1,802.14x = 2,486.94 × 1,005.46
4. Step 4: Simplify right side
   1,802.14x = 2,500,518.69
5. Step 5: Solve for x
   x = 2,500,518.69/1,802.14
6. Step 6: Final answer
   x = 1,387.53