Finding the Fourth Proportional to 5,162.46, 7,782.59 and 4,828.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,162.46 : 7,782.59 = 4,828.38 : x
2. Step 2: Convert to fraction form
   5,162.46/7,782.59 = 4,828.38/x
3. Step 3: Cross multiply
   5,162.46x = 7,782.59 × 4,828.38
4. Step 4: Simplify right side
   5,162.46x = 37,577,277.76
5. Step 5: Solve for x
   x = 37,577,277.76/5,162.46
6. Step 6: Final answer
   x = 7,278.95