Finding the Fourth Proportional to 9,667.01, 13,341.71 and 5,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.01 : 13,341.71 = 5,688.50 : x
2. Step 2: Convert to fraction form
   9,667.01/13,341.71 = 5,688.50/x
3. Step 3: Cross multiply
   9,667.01x = 13,341.71 × 5,688.50
4. Step 4: Simplify right side
   9,667.01x = 75,894,264.85
5. Step 5: Solve for x
   x = 75,894,264.85/9,667.01
6. Step 6: Final answer
   x = 7,850.85