Finding the Fourth Proportional to 10,211.80, 14,092.35 and 5,674.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,211.80 : 14,092.35 = 5,674.52 : x
2. Step 2: Convert to fraction form
   10,211.80/14,092.35 = 5,674.52/x
3. Step 3: Cross multiply
   10,211.80x = 14,092.35 × 5,674.52
4. Step 4: Simplify right side
   10,211.80x = 79,967,321.92
5. Step 5: Solve for x
   x = 79,967,321.92/10,211.80
6. Step 6: Final answer
   x = 7,830.87