Finding the Fourth Proportional to 10,390.02, 14,338.22 and 5,674.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.02 : 14,338.22 = 5,674.30 : x
2. Step 2: Convert to fraction form
   10,390.02/14,338.22 = 5,674.30/x
3. Step 3: Cross multiply
   10,390.02x = 14,338.22 × 5,674.30
4. Step 4: Simplify right side
   10,390.02x = 81,359,361.75
5. Step 5: Solve for x
   x = 81,359,361.75/10,390.02
6. Step 6: Final answer
   x = 7,830.53