Finding the Fourth Proportional to 2,511.50, 3,764.56 and 1,122.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.50 : 3,764.56 = 1,122.92 : x
2. Step 2: Convert to fraction form
   2,511.50/3,764.56 = 1,122.92/x
3. Step 3: Cross multiply
   2,511.50x = 3,764.56 × 1,122.92
4. Step 4: Simplify right side
   2,511.50x = 4,227,299.72
5. Step 5: Solve for x
   x = 4,227,299.72/2,511.50
6. Step 6: Final answer
   x = 1,683.18