Finding the Fourth Proportional to 9,609.58, 13,264.50 and 5,631.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,609.58 : 13,264.50 = 5,631.96 : x
2. Step 2: Convert to fraction form
   9,609.58/13,264.50 = 5,631.96/x
3. Step 3: Cross multiply
   9,609.58x = 13,264.50 × 5,631.96
4. Step 4: Simplify right side
   9,609.58x = 74,705,133.42
5. Step 5: Solve for x
   x = 74,705,133.42/9,609.58
6. Step 6: Final answer
   x = 7,774.03