Finding the Fourth Proportional to 9,269.21, 12,788.84 and 5,682.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269.21 : 12,788.84 = 5,682.98 : x
2. Step 2: Convert to fraction form
   9,269.21/12,788.84 = 5,682.98/x
3. Step 3: Cross multiply
   9,269.21x = 12,788.84 × 5,682.98
4. Step 4: Simplify right side
   9,269.21x = 72,678,768.12
5. Step 5: Solve for x
   x = 72,678,768.12/9,269.21
6. Step 6: Final answer
   x = 7,840.88