Finding the Fourth Proportional to 1,014.92, 1,513.46 and 1,005.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.92 : 1,513.46 = 1,005.68 : x
2. Step 2: Convert to fraction form
   1,014.92/1,513.46 = 1,005.68/x
3. Step 3: Cross multiply
   1,014.92x = 1,513.46 × 1,005.68
4. Step 4: Simplify right side
   1,014.92x = 1,522,048.89
5. Step 5: Solve for x
   x = 1,522,048.89/1,014.92
6. Step 6: Final answer
   x = 1,499.68