Finding the Fourth Proportional to 9,638.00, 13,298.92 and 5,605.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.00 : 13,298.92 = 5,605.72 : x
2. Step 2: Convert to fraction form
   9,638.00/13,298.92 = 5,605.72/x
3. Step 3: Cross multiply
   9,638.00x = 13,298.92 × 5,605.72
4. Step 4: Simplify right side
   9,638.00x = 74,549,955.33
5. Step 5: Solve for x
   x = 74,549,955.33/9,638.00
6. Step 6: Final answer
   x = 7,735.01