Finding the Fourth Proportional to 1,417.50, 2,124.20 and 1,007.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.50 : 2,124.20 = 1,007.46 : x
2. Step 2: Convert to fraction form
   1,417.50/2,124.20 = 1,007.46/x
3. Step 3: Cross multiply
   1,417.50x = 2,124.20 × 1,007.46
4. Step 4: Simplify right side
   1,417.50x = 2,140,046.53
5. Step 5: Solve for x
   x = 2,140,046.53/1,417.50
6. Step 6: Final answer
   x = 1,509.73