Finding the Fourth Proportional to 9,664.41, 13,336.83 and 5,415.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.41 : 13,336.83 = 5,415.86 : x
2. Step 2: Convert to fraction form
   9,664.41/13,336.83 = 5,415.86/x
3. Step 3: Cross multiply
   9,664.41x = 13,336.83 × 5,415.86
4. Step 4: Simplify right side
   9,664.41x = 72,230,422.23
5. Step 5: Solve for x
   x = 72,230,422.23/9,664.41
6. Step 6: Final answer
   x = 7,473.85