Finding the Fourth Proportional to 1,634.83, 2,256.24 and 1,005.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.83 : 2,256.24 = 1,005.37 : x
2. Step 2: Convert to fraction form
   1,634.83/2,256.24 = 1,005.37/x
3. Step 3: Cross multiply
   1,634.83x = 2,256.24 × 1,005.37
4. Step 4: Simplify right side
   1,634.83x = 2,268,356.01
5. Step 5: Solve for x
   x = 2,268,356.01/1,634.83
6. Step 6: Final answer
   x = 1,387.52