Finding the Fourth Proportional to 10,777.86, 16,166.92 and 3,758.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.86 : 16,166.92 = 3,758.02 : x
2. Step 2: Convert to fraction form
   10,777.86/16,166.92 = 3,758.02/x
3. Step 3: Cross multiply
   10,777.86x = 16,166.92 × 3,758.02
4. Step 4: Simplify right side
   10,777.86x = 60,755,600.83
5. Step 5: Solve for x
   x = 60,755,600.83/10,777.86
6. Step 6: Final answer
   x = 5,637.07