Finding the Fourth Proportional to 5,200.34, 7,788.83 and 4,022.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.34 : 7,788.83 = 4,022.06 : x
2. Step 2: Convert to fraction form
   5,200.34/7,788.83 = 4,022.06/x
3. Step 3: Cross multiply
   5,200.34x = 7,788.83 × 4,022.06
4. Step 4: Simplify right side
   5,200.34x = 31,327,082.54
5. Step 5: Solve for x
   x = 31,327,082.54/5,200.34
6. Step 6: Final answer
   x = 6,024.05