Finding the Fourth Proportional to 9,577.37, 14,335.33 and 5,123.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.37 : 14,335.33 = 5,123.89 : x
2. Step 2: Convert to fraction form
   9,577.37/14,335.33 = 5,123.89/x
3. Step 3: Cross multiply
   9,577.37x = 14,335.33 × 5,123.89
4. Step 4: Simplify right side
   9,577.37x = 73,452,628.41
5. Step 5: Solve for x
   x = 73,452,628.41/9,577.37
6. Step 6: Final answer
   x = 7,669.40