Finding the Fourth Proportional to 2,649.42, 3,973.56 and 1,005.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.42 : 3,973.56 = 1,005.39 : x
2. Step 2: Convert to fraction form
   2,649.42/3,973.56 = 1,005.39/x
3. Step 3: Cross multiply
   2,649.42x = 3,973.56 × 1,005.39
4. Step 4: Simplify right side
   2,649.42x = 3,994,977.49
5. Step 5: Solve for x
   x = 3,994,977.49/2,649.42
6. Step 6: Final answer
   x = 1,507.87