Finding the Fourth Proportional to 5,109.58, 7,662.48 and 1,822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.58 : 7,662.48 = 1,822.06 : x
2. Step 2: Convert to fraction form
   5,109.58/7,662.48 = 1,822.06/x
3. Step 3: Cross multiply
   5,109.58x = 7,662.48 × 1,822.06
4. Step 4: Simplify right side
   5,109.58x = 13,961,498.31
5. Step 5: Solve for x
   x = 13,961,498.31/5,109.58
6. Step 6: Final answer
   x = 2,732.42