Finding the Fourth Proportional to 10,390.12, 14,338.56 and 5,674.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.12 : 14,338.56 = 5,674.60 : x
2. Step 2: Convert to fraction form
   10,390.12/14,338.56 = 5,674.60/x
3. Step 3: Cross multiply
   10,390.12x = 14,338.56 × 5,674.60
4. Step 4: Simplify right side
   10,390.12x = 81,365,592.58
5. Step 5: Solve for x
   x = 81,365,592.58/10,390.12
6. Step 6: Final answer
   x = 7,831.05