Finding the Fourth Proportional to 5,111.10, 7,664.13 and 1,647.90

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.10 : 7,664.13 = 1,647.90 : x
2. Step 2: Convert to fraction form
   5,111.10/7,664.13 = 1,647.90/x
3. Step 3: Cross multiply
   5,111.10x = 7,664.13 × 1,647.90
4. Step 4: Simplify right side
   5,111.10x = 12,629,719.83
5. Step 5: Solve for x
   x = 12,629,719.83/5,111.10
6. Step 6: Final answer
   x = 2,471.04