Finding the Fourth Proportional to 9,498.49, 14,235.89 and 4,566.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498.49 : 14,235.89 = 4,566.80 : x
2. Step 2: Convert to fraction form
   9,498.49/14,235.89 = 4,566.80/x
3. Step 3: Cross multiply
   9,498.49x = 14,235.89 × 4,566.80
4. Step 4: Simplify right side
   9,498.49x = 65,012,475.21
5. Step 5: Solve for x
   x = 65,012,475.21/9,498.49
6. Step 6: Final answer
   x = 6,844.51