Finding the Fourth Proportional to 1,009.72, 1,513.74 and 432.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.72 : 1,513.74 = 432.52 : x
2. Step 2: Convert to fraction form
   1,009.72/1,513.74 = 432.52/x
3. Step 3: Cross multiply
   1,009.72x = 1,513.74 × 432.52
4. Step 4: Simplify right side
   1,009.72x = 654,722.82
5. Step 5: Solve for x
   x = 654,722.82/1,009.72
6. Step 6: Final answer
   x = 648.42