Finding the Fourth Proportional to 9,614.82, 13,269.72 and 5,637.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.82 : 13,269.72 = 5,637.48 : x
2. Step 2: Convert to fraction form
   9,614.82/13,269.72 = 5,637.48/x
3. Step 3: Cross multiply
   9,614.82x = 13,269.72 × 5,637.48
4. Step 4: Simplify right side
   9,614.82x = 74,807,781.11
5. Step 5: Solve for x
   x = 74,807,781.11/9,614.82
6. Step 6: Final answer
   x = 7,780.47