Finding the Fourth Proportional to 1,007.58, 1,510.66 and 382.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.58 : 1,510.66 = 382.78 : x
2. Step 2: Convert to fraction form
   1,007.58/1,510.66 = 382.78/x
3. Step 3: Cross multiply
   1,007.58x = 1,510.66 × 382.78
4. Step 4: Simplify right side
   1,007.58x = 578,250.43
5. Step 5: Solve for x
   x = 578,250.43/1,007.58
6. Step 6: Final answer
   x = 573.90