Finding the Fourth Proportional to 5,158.00, 7,738.68 and 1,648.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.00 : 7,738.68 = 1,648.58 : x
2. Step 2: Convert to fraction form
   5,158.00/7,738.68 = 1,648.58/x
3. Step 3: Cross multiply
   5,158.00x = 7,738.68 × 1,648.58
4. Step 4: Simplify right side
   5,158.00x = 12,757,833.07
5. Step 5: Solve for x
   x = 12,757,833.07/5,158.00
6. Step 6: Final answer
   x = 2,473.41