Finding the Fourth Proportional to 1,456.38, 2,009.00 and 931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.38 : 2,009.00 = 931.50 : x
2. Step 2: Convert to fraction form
   1,456.38/2,009.00 = 931.50/x
3. Step 3: Cross multiply
   1,456.38x = 2,009.00 × 931.50
4. Step 4: Simplify right side
   1,456.38x = 1,871,385.83
5. Step 5: Solve for x
   x = 1,871,385.83/1,456.38
6. Step 6: Final answer
   x = 1,284.96