Finding the Fourth Proportional to 4,978.64, 7,458.24 and 3,659.96

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.64 : 7,458.24 = 3,659.96 : x
2. Step 2: Convert to fraction form
   4,978.64/7,458.24 = 3,659.96/x
3. Step 3: Cross multiply
   4,978.64x = 7,458.24 × 3,659.96
4. Step 4: Simplify right side
   4,978.64x = 27,296,860.07
5. Step 5: Solve for x
   x = 27,296,860.07/4,978.64
6. Step 6: Final answer
   x = 5,482.79