Finding the Fourth Proportional to 2,531.50, 3,797.31 and 992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.50 : 3,797.31 = 992.50 : x
2. Step 2: Convert to fraction form
   2,531.50/3,797.31 = 992.50/x
3. Step 3: Cross multiply
   2,531.50x = 3,797.31 × 992.50
4. Step 4: Simplify right side
   2,531.50x = 3,768,830.18
5. Step 5: Solve for x
   x = 3,768,830.18/2,531.50
6. Step 6: Final answer
   x = 1,488.77