Finding the Fourth Proportional to 10,028.57, 13,841.34 and 5,782.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,028.57 : 13,841.34 = 5,782.46 : x
2. Step 2: Convert to fraction form
   10,028.57/13,841.34 = 5,782.46/x
3. Step 3: Cross multiply
   10,028.57x = 13,841.34 × 5,782.46
4. Step 4: Simplify right side
   10,028.57x = 80,036,994.90
5. Step 5: Solve for x
   x = 80,036,994.90/10,028.57
6. Step 6: Final answer
   x = 7,980.90