Finding the Fourth Proportional to 1,007.55, 1,510.72 and 460.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.55 : 1,510.72 = 460.19 : x
2. Step 2: Convert to fraction form
   1,007.55/1,510.72 = 460.19/x
3. Step 3: Cross multiply
   1,007.55x = 1,510.72 × 460.19
4. Step 4: Simplify right side
   1,007.55x = 695,220.86
5. Step 5: Solve for x
   x = 695,220.86/1,007.55
6. Step 6: Final answer
   x = 690.01