Finding the Fourth Proportional to 7,757.86, 10,705.94 and 4,221.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,757.86 : 10,705.94 = 4,221.10 : x
2. Step 2: Convert to fraction form
   7,757.86/10,705.94 = 4,221.10/x
3. Step 3: Cross multiply
   7,757.86x = 10,705.94 × 4,221.10
4. Step 4: Simplify right side
   7,757.86x = 45,190,875.38
5. Step 5: Solve for x
   x = 45,190,875.38/7,757.86
6. Step 6: Final answer
   x = 5,825.17