Finding the Fourth Proportional to 1,007.59, 1,510.83 and 678.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.59 : 1,510.83 = 678.51 : x
2. Step 2: Convert to fraction form
   1,007.59/1,510.83 = 678.51/x
3. Step 3: Cross multiply
   1,007.59x = 1,510.83 × 678.51
4. Step 4: Simplify right side
   1,007.59x = 1,025,113.26
5. Step 5: Solve for x
   x = 1,025,113.26/1,007.59
6. Step 6: Final answer
   x = 1,017.39