Finding the Fourth Proportional to 10,934.82, 16,410.60 and 5,674.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,934.82 : 16,410.60 = 5,674.14 : x
2. Step 2: Convert to fraction form
   10,934.82/16,410.60 = 5,674.14/x
3. Step 3: Cross multiply
   10,934.82x = 16,410.60 × 5,674.14
4. Step 4: Simplify right side
   10,934.82x = 93,116,041.88
5. Step 5: Solve for x
   x = 93,116,041.88/10,934.82
6. Step 6: Final answer
   x = 8,515.55