Finding the Fourth Proportional to 10,822.57, 16,231.80 and 3,800.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.57 : 16,231.80 = 3,800.93 : x
2. Step 2: Convert to fraction form
   10,822.57/16,231.80 = 3,800.93/x
3. Step 3: Cross multiply
   10,822.57x = 16,231.80 × 3,800.93
4. Step 4: Simplify right side
   10,822.57x = 61,695,976.15
5. Step 5: Solve for x
   x = 61,695,976.15/10,822.57
6. Step 6: Final answer
   x = 5,700.68