Finding the Fourth Proportional to 10,390.02, 14,338.23 and 5,674.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.02 : 14,338.23 = 5,674.32 : x
2. Step 2: Convert to fraction form
   10,390.02/14,338.23 = 5,674.32/x
3. Step 3: Cross multiply
   10,390.02x = 14,338.23 × 5,674.32
4. Step 4: Simplify right side
   10,390.02x = 81,359,705.25
5. Step 5: Solve for x
   x = 81,359,705.25/10,390.02
6. Step 6: Final answer
   x = 7,830.56