Finding the Fourth Proportional to 1,302.73, 1,952.98 and 523.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.73 : 1,952.98 = 523.31 : x
2. Step 2: Convert to fraction form
   1,302.73/1,952.98 = 523.31/x
3. Step 3: Cross multiply
   1,302.73x = 1,952.98 × 523.31
4. Step 4: Simplify right side
   1,302.73x = 1,022,002.89
5. Step 5: Solve for x
   x = 1,022,002.89/1,302.73
6. Step 6: Final answer
   x = 784.51