Finding the Fourth Proportional to 1,496.50, 2,065.31 and 875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.50 : 2,065.31 = 875.50 : x
2. Step 2: Convert to fraction form
   1,496.50/2,065.31 = 875.50/x
3. Step 3: Cross multiply
   1,496.50x = 2,065.31 × 875.50
4. Step 4: Simplify right side
   1,496.50x = 1,808,178.91
5. Step 5: Solve for x
   x = 1,808,178.91/1,496.50
6. Step 6: Final answer
   x = 1,208.27