Finding the Fourth Proportional to 9,605.82, 13,257.10 and 5,630.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.82 : 13,257.10 = 5,630.29 : x
2. Step 2: Convert to fraction form
   9,605.82/13,257.10 = 5,630.29/x
3. Step 3: Cross multiply
   9,605.82x = 13,257.10 × 5,630.29
4. Step 4: Simplify right side
   9,605.82x = 74,641,303.48
5. Step 5: Solve for x
   x = 74,641,303.48/9,605.82
6. Step 6: Final answer
   x = 7,770.43