Finding the Fourth Proportional to 9,564.81, 13,199.82 and 5,315.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.81 : 13,199.82 = 5,315.84 : x
2. Step 2: Convert to fraction form
   9,564.81/13,199.82 = 5,315.84/x
3. Step 3: Cross multiply
   9,564.81x = 13,199.82 × 5,315.84
4. Step 4: Simplify right side
   9,564.81x = 70,168,131.15
5. Step 5: Solve for x
   x = 70,168,131.15/9,564.81
6. Step 6: Final answer
   x = 7,336.07