Finding the Fourth Proportional to 5,245.72, 7,802.45 and 4,778.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,245.72 : 7,802.45 = 4,778.20 : x
2. Step 2: Convert to fraction form
   5,245.72/7,802.45 = 4,778.20/x
3. Step 3: Cross multiply
   5,245.72x = 7,802.45 × 4,778.20
4. Step 4: Simplify right side
   5,245.72x = 37,281,666.59
5. Step 5: Solve for x
   x = 37,281,666.59/5,245.72
6. Step 6: Final answer
   x = 7,107.06