Finding the Fourth Proportional to 5,216.38, 7,823.82 and 1,320.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.38 : 7,823.82 = 1,320.58 : x
2. Step 2: Convert to fraction form
   5,216.38/7,823.82 = 1,320.58/x
3. Step 3: Cross multiply
   5,216.38x = 7,823.82 × 1,320.58
4. Step 4: Simplify right side
   5,216.38x = 10,331,980.22
5. Step 5: Solve for x
   x = 10,331,980.22/5,216.38
6. Step 6: Final answer
   x = 1,980.68