Finding the Fourth Proportional to 5,113.50, 7,665.68 and 1,826.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113.50 : 7,665.68 = 1,826.12 : x
2. Step 2: Convert to fraction form
   5,113.50/7,665.68 = 1,826.12/x
3. Step 3: Cross multiply
   5,113.50x = 7,665.68 × 1,826.12
4. Step 4: Simplify right side
   5,113.50x = 13,998,404.10
5. Step 5: Solve for x
   x = 13,998,404.10/5,113.50
6. Step 6: Final answer
   x = 2,737.54