Finding the Fourth Proportional to 5,109.56, 7,662.72 and 1,646

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.56 : 7,662.72 = 1,646 : x
2. Step 2: Convert to fraction form
   5,109.56/7,662.72 = 1,646/x
3. Step 3: Cross multiply
   5,109.56x = 7,662.72 × 1,646
4. Step 4: Simplify right side
   5,109.56x = 12,612,837.12
5. Step 5: Solve for x
   x = 12,612,837.12/5,109.56
6. Step 6: Final answer
   x = 2,468.48