Finding the Fourth Proportional to 1,007.47, 1,510.35 and 459.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.47 : 1,510.35 = 459.46 : x
2. Step 2: Convert to fraction form
   1,007.47/1,510.35 = 459.46/x
3. Step 3: Cross multiply
   1,007.47x = 1,510.35 × 459.46
4. Step 4: Simplify right side
   1,007.47x = 693,945.41
5. Step 5: Solve for x
   x = 693,945.41/1,007.47
6. Step 6: Final answer
   x = 688.80