Finding the Fourth Proportional to 5,165.10, 7,748.52 and 1,606.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,165.10 : 7,748.52 = 1,606.38 : x
2. Step 2: Convert to fraction form
   5,165.10/7,748.52 = 1,606.38/x
3. Step 3: Cross multiply
   5,165.10x = 7,748.52 × 1,606.38
4. Step 4: Simplify right side
   5,165.10x = 12,447,067.56
5. Step 5: Solve for x
   x = 12,447,067.56/5,165.10
6. Step 6: Final answer
   x = 2,409.84