Finding the Fourth Proportional to 1,802.55, 2,487.45 and 1,005.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.55 : 2,487.45 = 1,005.83 : x
2. Step 2: Convert to fraction form
   1,802.55/2,487.45 = 1,005.83/x
3. Step 3: Cross multiply
   1,802.55x = 2,487.45 × 1,005.83
4. Step 4: Simplify right side
   1,802.55x = 2,501,939.40
5. Step 5: Solve for x
   x = 2,501,939.40/1,802.55
6. Step 6: Final answer
   x = 1,388.00