Finding the Fourth Proportional to 5,154.82, 7,733.76 and 1,645.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,154.82 : 7,733.76 = 1,645.05 : x
2. Step 2: Convert to fraction form
   5,154.82/7,733.76 = 1,645.05/x
3. Step 3: Cross multiply
   5,154.82x = 7,733.76 × 1,645.05
4. Step 4: Simplify right side
   5,154.82x = 12,722,421.89
5. Step 5: Solve for x
   x = 12,722,421.89/5,154.82
6. Step 6: Final answer
   x = 2,468.06