Finding the Fourth Proportional to 1,007.36, 1,510.32 and 494.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.36 : 1,510.32 = 494.72 : x
2. Step 2: Convert to fraction form
   1,007.36/1,510.32 = 494.72/x
3. Step 3: Cross multiply
   1,007.36x = 1,510.32 × 494.72
4. Step 4: Simplify right side
   1,007.36x = 747,185.51
5. Step 5: Solve for x
   x = 747,185.51/1,007.36
6. Step 6: Final answer
   x = 741.73