Finding the Fourth Proportional to 7,825.89, 10,799.70 and 4,682.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.89 : 10,799.70 = 4,682.82 : x
2. Step 2: Convert to fraction form
   7,825.89/10,799.70 = 4,682.82/x
3. Step 3: Cross multiply
   7,825.89x = 10,799.70 × 4,682.82
4. Step 4: Simplify right side
   7,825.89x = 50,573,051.15
5. Step 5: Solve for x
   x = 50,573,051.15/7,825.89
6. Step 6: Final answer
   x = 6,462.27