Finding the Fourth Proportional to 5,298.64, 7,314.18 and 3,535.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,298.64 : 7,314.18 = 3,535.38 : x
2. Step 2: Convert to fraction form
   5,298.64/7,314.18 = 3,535.38/x
3. Step 3: Cross multiply
   5,298.64x = 7,314.18 × 3,535.38
4. Step 4: Simplify right side
   5,298.64x = 25,858,405.69
5. Step 5: Solve for x
   x = 25,858,405.69/5,298.64
6. Step 6: Final answer
   x = 4,880.20