Finding the Fourth Proportional to 10,390.10, 14,338.26 and 5,674.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.10 : 14,338.26 = 5,674.34 : x
2. Step 2: Convert to fraction form
   10,390.10/14,338.26 = 5,674.34/x
3. Step 3: Cross multiply
   10,390.10x = 14,338.26 × 5,674.34
4. Step 4: Simplify right side
   10,390.10x = 81,360,162.25
5. Step 5: Solve for x
   x = 81,360,162.25/10,390.10
6. Step 6: Final answer
   x = 7,830.55