Finding the Fourth Proportional to 10,777.83, 16,133.33 and 5,835.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.83 : 16,133.33 = 5,835.21 : x
2. Step 2: Convert to fraction form
   10,777.83/16,133.33 = 5,835.21/x
3. Step 3: Cross multiply
   10,777.83x = 16,133.33 × 5,835.21
4. Step 4: Simplify right side
   10,777.83x = 94,141,289.81
5. Step 5: Solve for x
   x = 94,141,289.81/10,777.83
6. Step 6: Final answer
   x = 8,734.72