Finding the Fourth Proportional to 7,727.89, 10,664.46 and 4,191.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,727.89 : 10,664.46 = 4,191.10 : x
2. Step 2: Convert to fraction form
   7,727.89/10,664.46 = 4,191.10/x
3. Step 3: Cross multiply
   7,727.89x = 10,664.46 × 4,191.10
4. Step 4: Simplify right side
   7,727.89x = 44,695,818.31
5. Step 5: Solve for x
   x = 44,695,818.31/7,727.89
6. Step 6: Final answer
   x = 5,783.70