Finding the Fourth Proportional to 9,637.89, 13,301.37 and 5,446.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.89 : 13,301.37 = 5,446.41 : x
2. Step 2: Convert to fraction form
   9,637.89/13,301.37 = 5,446.41/x
3. Step 3: Cross multiply
   9,637.89x = 13,301.37 × 5,446.41
4. Step 4: Simplify right side
   9,637.89x = 72,444,714.58
5. Step 5: Solve for x
   x = 72,444,714.58/9,637.89
6. Step 6: Final answer
   x = 7,516.66