Finding the Fourth Proportional to 5,111.51, 7,664.87 and 1,823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.51 : 7,664.87 = 1,823.83 : x
2. Step 2: Convert to fraction form
   5,111.51/7,664.87 = 1,823.83/x
3. Step 3: Cross multiply
   5,111.51x = 7,664.87 × 1,823.83
4. Step 4: Simplify right side
   5,111.51x = 13,979,405.25
5. Step 5: Solve for x
   x = 13,979,405.25/5,111.51
6. Step 6: Final answer
   x = 2,734.89