Finding the Fourth Proportional to 5,111.20, 7,662.25 and 1,823.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.20 : 7,662.25 = 1,823.56 : x
2. Step 2: Convert to fraction form
   5,111.20/7,662.25 = 1,823.56/x
3. Step 3: Cross multiply
   5,111.20x = 7,662.25 × 1,823.56
4. Step 4: Simplify right side
   5,111.20x = 13,972,588.58
5. Step 5: Solve for x
   x = 13,972,588.58/5,111.20
6. Step 6: Final answer
   x = 2,733.72