Finding the Fourth Proportional to 5,320.22, 7,978.10 and 2,546.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,320.22 : 7,978.10 = 2,546.24 : x
2. Step 2: Convert to fraction form
   5,320.22/7,978.10 = 2,546.24/x
3. Step 3: Cross multiply
   5,320.22x = 7,978.10 × 2,546.24
4. Step 4: Simplify right side
   5,320.22x = 20,314,104.72
5. Step 5: Solve for x
   x = 20,314,104.72/5,320.22
6. Step 6: Final answer
   x = 3,818.29