Finding the Fourth Proportional to 10,777.06, 16,166.05 and 3,757.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.06 : 16,166.05 = 3,757.78 : x
2. Step 2: Convert to fraction form
   10,777.06/16,166.05 = 3,757.78/x
3. Step 3: Cross multiply
   10,777.06x = 16,166.05 × 3,757.78
4. Step 4: Simplify right side
   10,777.06x = 60,748,459.37
5. Step 5: Solve for x
   x = 60,748,459.37/10,777.06
6. Step 6: Final answer
   x = 5,636.83