Finding the Fourth Proportional to 1,516.50, 2,092.37 and 926.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.50 : 2,092.37 = 926.82 : x
2. Step 2: Convert to fraction form
   1,516.50/2,092.37 = 926.82/x
3. Step 3: Cross multiply
   1,516.50x = 2,092.37 × 926.82
4. Step 4: Simplify right side
   1,516.50x = 1,939,245.73
5. Step 5: Solve for x
   x = 1,939,245.73/1,516.50
6. Step 6: Final answer
   x = 1,278.76