Finding the Fourth Proportional to 10,390.53, 14,338.71 and 5,674.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.53 : 14,338.71 = 5,674.83 : x
2. Step 2: Convert to fraction form
   10,390.53/14,338.71 = 5,674.83/x
3. Step 3: Cross multiply
   10,390.53x = 14,338.71 × 5,674.83
4. Step 4: Simplify right side
   10,390.53x = 81,369,741.67
5. Step 5: Solve for x
   x = 81,369,741.67/10,390.53
6. Step 6: Final answer
   x = 7,831.14