Finding the Fourth Proportional to 1,009.72, 1,523.35 and 1,007.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.72 : 1,523.35 = 1,007.02 : x
2. Step 2: Convert to fraction form
   1,009.72/1,523.35 = 1,007.02/x
3. Step 3: Cross multiply
   1,009.72x = 1,523.35 × 1,007.02
4. Step 4: Simplify right side
   1,009.72x = 1,534,043.92
5. Step 5: Solve for x
   x = 1,534,043.92/1,009.72
6. Step 6: Final answer
   x = 1,519.28