Finding the Fourth Proportional to 9,768.57, 14,647.68 and 4,498.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.57 : 14,647.68 = 4,498.98 : x
2. Step 2: Convert to fraction form
   9,768.57/14,647.68 = 4,498.98/x
3. Step 3: Cross multiply
   9,768.57x = 14,647.68 × 4,498.98
4. Step 4: Simplify right side
   9,768.57x = 65,899,619.37
5. Step 5: Solve for x
   x = 65,899,619.37/9,768.57
6. Step 6: Final answer
   x = 6,746.09