Finding the Fourth Proportional to 9,742.67, 14,610.35 and 7,686.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.67 : 14,610.35 = 7,686.89 : x
2. Step 2: Convert to fraction form
   9,742.67/14,610.35 = 7,686.89/x
3. Step 3: Cross multiply
   9,742.67x = 14,610.35 × 7,686.89
4. Step 4: Simplify right side
   9,742.67x = 112,308,153.31
5. Step 5: Solve for x
   x = 112,308,153.31/9,742.67
6. Step 6: Final answer
   x = 11,527.45