Finding the Fourth Proportional to 5,111.31, 7,665.33 and 1,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.31 : 7,665.33 = 1,647.75 : x
2. Step 2: Convert to fraction form
   5,111.31/7,665.33 = 1,647.75/x
3. Step 3: Cross multiply
   5,111.31x = 7,665.33 × 1,647.75
4. Step 4: Simplify right side
   5,111.31x = 12,630,547.51
5. Step 5: Solve for x
   x = 12,630,547.51/5,111.31
6. Step 6: Final answer
   x = 2,471.10