Finding the Fourth Proportional to 9,758.10, 13,462.86 and 7,962.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.10 : 13,462.86 = 7,962.42 : x
2. Step 2: Convert to fraction form
   9,758.10/13,462.86 = 7,962.42/x
3. Step 3: Cross multiply
   9,758.10x = 13,462.86 × 7,962.42
4. Step 4: Simplify right side
   9,758.10x = 107,196,945.72
5. Step 5: Solve for x
   x = 107,196,945.72/9,758.10
6. Step 6: Final answer
   x = 10,985.43