Finding the Fourth Proportional to 9,638.74, 13,300.06 and 5,661.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.74 : 13,300.06 = 5,661.14 : x
2. Step 2: Convert to fraction form
   9,638.74/13,300.06 = 5,661.14/x
3. Step 3: Cross multiply
   9,638.74x = 13,300.06 × 5,661.14
4. Step 4: Simplify right side
   9,638.74x = 75,293,406.86
5. Step 5: Solve for x
   x = 75,293,406.86/9,638.74
6. Step 6: Final answer
   x = 7,811.54