Finding the Fourth Proportional to 7,842.18, 10,825.77 and 5,013.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842.18 : 10,825.77 = 5,013.42 : x
2. Step 2: Convert to fraction form
   7,842.18/10,825.77 = 5,013.42/x
3. Step 3: Cross multiply
   7,842.18x = 10,825.77 × 5,013.42
4. Step 4: Simplify right side
   7,842.18x = 54,274,131.83
5. Step 5: Solve for x
   x = 54,274,131.83/7,842.18
6. Step 6: Final answer
   x = 6,920.80