Finding the Fourth Proportional to 9,416.01, 12,993.20 and 5,638.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,416.01 : 12,993.20 = 5,638.47 : x
2. Step 2: Convert to fraction form
   9,416.01/12,993.20 = 5,638.47/x
3. Step 3: Cross multiply
   9,416.01x = 12,993.20 × 5,638.47
4. Step 4: Simplify right side
   9,416.01x = 73,261,740.21
5. Step 5: Solve for x
   x = 73,261,740.21/9,416.01
6. Step 6: Final answer
   x = 7,780.55