Finding the Fourth Proportional to 10,506.80, 15,762.50 and 3,111.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.80 : 15,762.50 = 3,111.83 : x
2. Step 2: Convert to fraction form
   10,506.80/15,762.50 = 3,111.83/x
3. Step 3: Cross multiply
   10,506.80x = 15,762.50 × 3,111.83
4. Step 4: Simplify right side
   10,506.80x = 49,050,204.82
5. Step 5: Solve for x
   x = 49,050,204.82/10,506.80
6. Step 6: Final answer
   x = 4,668.43