Finding the Fourth Proportional to 3,109.32, 4,657.59 and 1,645.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.32 : 4,657.59 = 1,645.38 : x
2. Step 2: Convert to fraction form
   3,109.32/4,657.59 = 1,645.38/x
3. Step 3: Cross multiply
   3,109.32x = 4,657.59 × 1,645.38
4. Step 4: Simplify right side
   3,109.32x = 7,663,505.43
5. Step 5: Solve for x
   x = 7,663,505.43/3,109.32
6. Step 6: Final answer
   x = 2,464.69