Finding the Fourth Proportional to 9,689.41, 14,537.76 and 5,796.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.41 : 14,537.76 = 5,796.55 : x
2. Step 2: Convert to fraction form
   9,689.41/14,537.76 = 5,796.55/x
3. Step 3: Cross multiply
   9,689.41x = 14,537.76 × 5,796.55
4. Step 4: Simplify right side
   9,689.41x = 84,268,852.73
5. Step 5: Solve for x
   x = 84,268,852.73/9,689.41
6. Step 6: Final answer
   x = 8,697.01