Finding the Fourth Proportional to 5,109.12, 7,665.22 and 1,822.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.12 : 7,665.22 = 1,822.47 : x
2. Step 2: Convert to fraction form
   5,109.12/7,665.22 = 1,822.47/x
3. Step 3: Cross multiply
   5,109.12x = 7,665.22 × 1,822.47
4. Step 4: Simplify right side
   5,109.12x = 13,969,607.03
5. Step 5: Solve for x
   x = 13,969,607.03/5,109.12
6. Step 6: Final answer
   x = 2,734.25