Finding the Fourth Proportional to 1,802.23, 2,487.10 and 1,005.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.23 : 2,487.10 = 1,005.63 : x
2. Step 2: Convert to fraction form
   1,802.23/2,487.10 = 1,005.63/x
3. Step 3: Cross multiply
   1,802.23x = 2,487.10 × 1,005.63
4. Step 4: Simplify right side
   1,802.23x = 2,501,089.59
5. Step 5: Solve for x
   x = 2,501,089.59/1,802.23
6. Step 6: Final answer
   x = 1,387.77