Finding the Fourth Proportional to 9,645.17, 13,312.50 and 5,667.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.17 : 13,312.50 = 5,667.56 : x
2. Step 2: Convert to fraction form
   9,645.17/13,312.50 = 5,667.56/x
3. Step 3: Cross multiply
   9,645.17x = 13,312.50 × 5,667.56
4. Step 4: Simplify right side
   9,645.17x = 75,449,325.94
5. Step 5: Solve for x
   x = 75,449,325.94/9,645.17
6. Step 6: Final answer
   x = 7,822.50