Finding the Fourth Proportional to 5,674.89, 7,830.12 and 3,315.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,674.89 : 7,830.12 = 3,315.96 : x
2. Step 2: Convert to fraction form
   5,674.89/7,830.12 = 3,315.96/x
3. Step 3: Cross multiply
   5,674.89x = 7,830.12 × 3,315.96
4. Step 4: Simplify right side
   5,674.89x = 25,964,364.72
5. Step 5: Solve for x
   x = 25,964,364.72/5,674.89
6. Step 6: Final answer
   x = 4,575.31