Finding the Fourth Proportional to 10,667.50, 16,007.40 and 5,737.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.50 : 16,007.40 = 5,737.30 : x
2. Step 2: Convert to fraction form
   10,667.50/16,007.40 = 5,737.30/x
3. Step 3: Cross multiply
   10,667.50x = 16,007.40 × 5,737.30
4. Step 4: Simplify right side
   10,667.50x = 91,839,256.02
5. Step 5: Solve for x
   x = 91,839,256.02/10,667.50
6. Step 6: Final answer
   x = 8,609.26