Finding the Fourth Proportional to 1,007.60, 1,510.82 and 314.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.60 : 1,510.82 = 314.07 : x
2. Step 2: Convert to fraction form
   1,007.60/1,510.82 = 314.07/x
3. Step 3: Cross multiply
   1,007.60x = 1,510.82 × 314.07
4. Step 4: Simplify right side
   1,007.60x = 474,501.67
5. Step 5: Solve for x
   x = 474,501.67/1,007.60
6. Step 6: Final answer
   x = 470.92