Finding the Fourth Proportional to 9,637.61, 14,446.56 and 5,468.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.61 : 14,446.56 = 5,468.81 : x
2. Step 2: Convert to fraction form
   9,637.61/14,446.56 = 5,468.81/x
3. Step 3: Cross multiply
   9,637.61x = 14,446.56 × 5,468.81
4. Step 4: Simplify right side
   9,637.61x = 79,005,505.47
5. Step 5: Solve for x
   x = 79,005,505.47/9,637.61
6. Step 6: Final answer
   x = 8,197.63