Finding the Fourth Proportional to 5,109.30, 7,662.87 and 1,822.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.30 : 7,662.87 = 1,822.59 : x
2. Step 2: Convert to fraction form
   5,109.30/7,662.87 = 1,822.59/x
3. Step 3: Cross multiply
   5,109.30x = 7,662.87 × 1,822.59
4. Step 4: Simplify right side
   5,109.30x = 13,966,270.23
5. Step 5: Solve for x
   x = 13,966,270.23/5,109.30
6. Step 6: Final answer
   x = 2,733.50