Finding the Fourth Proportional to 9,410.54, 12,986.56 and 5,633.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.54 : 12,986.56 = 5,633.86 : x
2. Step 2: Convert to fraction form
   9,410.54/12,986.56 = 5,633.86/x
3. Step 3: Cross multiply
   9,410.54x = 12,986.56 × 5,633.86
4. Step 4: Simplify right side
   9,410.54x = 73,164,460.92
5. Step 5: Solve for x
   x = 73,164,460.92/9,410.54
6. Step 6: Final answer
   x = 7,774.74