Finding the Fourth Proportional to 5,111.12, 7,664.78 and 1,823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.12 : 7,664.78 = 1,823.34 : x
2. Step 2: Convert to fraction form
   5,111.12/7,664.78 = 1,823.34/x
3. Step 3: Cross multiply
   5,111.12x = 7,664.78 × 1,823.34
4. Step 4: Simplify right side
   5,111.12x = 13,975,499.97
5. Step 5: Solve for x
   x = 13,975,499.97/5,111.12
6. Step 6: Final answer
   x = 2,734.33