Finding the Fourth Proportional to 7,757.83, 10,705.98 and 4,221.19

Step by Step Solution

1. Step 1: Write the proportion equation
   7,757.83 : 10,705.98 = 4,221.19 : x
2. Step 2: Convert to fraction form
   7,757.83/10,705.98 = 4,221.19/x
3. Step 3: Cross multiply
   7,757.83x = 10,705.98 × 4,221.19
4. Step 4: Simplify right side
   7,757.83x = 45,191,975.72
5. Step 5: Solve for x
   x = 45,191,975.72/7,757.83
6. Step 6: Final answer
   x = 5,825.34