Finding the Fourth Proportional to 10,367.85, 14,307.85 and 5,652.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,367.85 : 14,307.85 = 5,652.16 : x
2. Step 2: Convert to fraction form
   10,367.85/14,307.85 = 5,652.16/x
3. Step 3: Cross multiply
   10,367.85x = 14,307.85 × 5,652.16
4. Step 4: Simplify right side
   10,367.85x = 80,870,243.33
5. Step 5: Solve for x
   x = 80,870,243.33/10,367.85
6. Step 6: Final answer
   x = 7,800.10