Finding the Fourth Proportional to 1,790.98, 2,471.62 and 1,005

Step by Step Solution

1. Step 1: Write the proportion equation
   1,790.98 : 2,471.62 = 1,005 : x
2. Step 2: Convert to fraction form
   1,790.98/2,471.62 = 1,005/x
3. Step 3: Cross multiply
   1,790.98x = 2,471.62 × 1,005
4. Step 4: Simplify right side
   1,790.98x = 2,483,978.10
5. Step 5: Solve for x
   x = 2,483,978.10/1,790.98
6. Step 6: Final answer
   x = 1,386.94