Finding the Fourth Proportional to 1,309.52, 1,964.17 and 432.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.52 : 1,964.17 = 432.02 : x
2. Step 2: Convert to fraction form
   1,309.52/1,964.17 = 432.02/x
3. Step 3: Cross multiply
   1,309.52x = 1,964.17 × 432.02
4. Step 4: Simplify right side
   1,309.52x = 848,560.72
5. Step 5: Solve for x
   x = 848,560.72/1,309.52
6. Step 6: Final answer
   x = 647.99