Finding the Fourth Proportional to 1,412.50, 1,949.37 and 791.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.50 : 1,949.37 = 791.62 : x
2. Step 2: Convert to fraction form
   1,412.50/1,949.37 = 791.62/x
3. Step 3: Cross multiply
   1,412.50x = 1,949.37 × 791.62
4. Step 4: Simplify right side
   1,412.50x = 1,543,160.28
5. Step 5: Solve for x
   x = 1,543,160.28/1,412.50
6. Step 6: Final answer
   x = 1,092.50