Finding the Fourth Proportional to 5,109.44, 7,665.52 and 1,822.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.44 : 7,665.52 = 1,822.72 : x
2. Step 2: Convert to fraction form
   5,109.44/7,665.52 = 1,822.72/x
3. Step 3: Cross multiply
   5,109.44x = 7,665.52 × 1,822.72
4. Step 4: Simplify right side
   5,109.44x = 13,972,096.61
5. Step 5: Solve for x
   x = 13,972,096.61/5,109.44
6. Step 6: Final answer
   x = 2,734.57