Finding the Fourth Proportional to 5,111.48, 7,664.82 and 1,823.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.48 : 7,664.82 = 1,823.24 : x
2. Step 2: Convert to fraction form
   5,111.48/7,664.82 = 1,823.24/x
3. Step 3: Cross multiply
   5,111.48x = 7,664.82 × 1,823.24
4. Step 4: Simplify right side
   5,111.48x = 13,974,806.42
5. Step 5: Solve for x
   x = 13,974,806.42/5,111.48
6. Step 6: Final answer
   x = 2,734.00