Finding the Fourth Proportional to 5,111.58, 7,662.81 and 1,823.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.58 : 7,662.81 = 1,823.94 : x
2. Step 2: Convert to fraction form
   5,111.58/7,662.81 = 1,823.94/x
3. Step 3: Cross multiply
   5,111.58x = 7,662.81 × 1,823.94
4. Step 4: Simplify right side
   5,111.58x = 13,976,498.83
5. Step 5: Solve for x
   x = 13,976,498.83/5,111.58
6. Step 6: Final answer
   x = 2,734.28