Finding the Fourth Proportional to 10,389.81, 14,337.93 and 5,674.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,389.81 : 14,337.93 = 5,674.08 : x
2. Step 2: Convert to fraction form
   10,389.81/14,337.93 = 5,674.08/x
3. Step 3: Cross multiply
   10,389.81x = 14,337.93 × 5,674.08
4. Step 4: Simplify right side
   10,389.81x = 81,354,561.85
5. Step 5: Solve for x
   x = 81,354,561.85/10,389.81
6. Step 6: Final answer
   x = 7,830.23