Finding the Fourth Proportional to 5,152.38, 7,728.48 and 1,642.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.38 : 7,728.48 = 1,642.34 : x
2. Step 2: Convert to fraction form
   5,152.38/7,728.48 = 1,642.34/x
3. Step 3: Cross multiply
   5,152.38x = 7,728.48 × 1,642.34
4. Step 4: Simplify right side
   5,152.38x = 12,692,767.69
5. Step 5: Solve for x
   x = 12,692,767.69/5,152.38
6. Step 6: Final answer
   x = 2,463.48