Finding the Fourth Proportional to 9,411.08, 12,978.38 and 5,633.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.08 : 12,978.38 = 5,633.64 : x
2. Step 2: Convert to fraction form
   9,411.08/12,978.38 = 5,633.64/x
3. Step 3: Cross multiply
   9,411.08x = 12,978.38 × 5,633.64
4. Step 4: Simplify right side
   9,411.08x = 73,115,492.54
5. Step 5: Solve for x
   x = 73,115,492.54/9,411.08
6. Step 6: Final answer
   x = 7,769.09