Finding the Fourth Proportional to 2,105.84, 3,157.24 and 1,009.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.84 : 3,157.24 = 1,009.36 : x
2. Step 2: Convert to fraction form
   2,105.84/3,157.24 = 1,009.36/x
3. Step 3: Cross multiply
   2,105.84x = 3,157.24 × 1,009.36
4. Step 4: Simplify right side
   2,105.84x = 3,186,791.77
5. Step 5: Solve for x
   x = 3,186,791.77/2,105.84
6. Step 6: Final answer
   x = 1,513.31