Finding the Fourth Proportional to 10,216.58, 14,100.19 and 5,740.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.58 : 14,100.19 = 5,740.34 : x
2. Step 2: Convert to fraction form
   10,216.58/14,100.19 = 5,740.34/x
3. Step 3: Cross multiply
   10,216.58x = 14,100.19 × 5,740.34
4. Step 4: Simplify right side
   10,216.58x = 80,939,814.16
5. Step 5: Solve for x
   x = 80,939,814.16/10,216.58
6. Step 6: Final answer
   x = 7,922.40