Finding the Fourth Proportional to 9,768.53, 14,656.31 and 3,842.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.53 : 14,656.31 = 3,842.13 : x
2. Step 2: Convert to fraction form
   9,768.53/14,656.31 = 3,842.13/x
3. Step 3: Cross multiply
   9,768.53x = 14,656.31 × 3,842.13
4. Step 4: Simplify right side
   9,768.53x = 56,311,514.71
5. Step 5: Solve for x
   x = 56,311,514.71/9,768.53
6. Step 6: Final answer
   x = 5,764.58