Finding the Fourth Proportional to 1,007.34, 1,510.52 and 313.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.34 : 1,510.52 = 313.88 : x
2. Step 2: Convert to fraction form
   1,007.34/1,510.52 = 313.88/x
3. Step 3: Cross multiply
   1,007.34x = 1,510.52 × 313.88
4. Step 4: Simplify right side
   1,007.34x = 474,112.90
5. Step 5: Solve for x
   x = 474,112.90/1,007.34
6. Step 6: Final answer
   x = 470.66