Finding the Fourth Proportional to 9,777.83, 14,668.88 and 3,537.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.83 : 14,668.88 = 3,537.18 : x
2. Step 2: Convert to fraction form
   9,777.83/14,668.88 = 3,537.18/x
3. Step 3: Cross multiply
   9,777.83x = 14,668.88 × 3,537.18
4. Step 4: Simplify right side
   9,777.83x = 51,886,451.27
5. Step 5: Solve for x
   x = 51,886,451.27/9,777.83
6. Step 6: Final answer
   x = 5,306.54