Finding the Fourth Proportional to 9,742.88, 13,410.96 and 8,978.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.88 : 13,410.96 = 8,978.24 : x
2. Step 2: Convert to fraction form
   9,742.88/13,410.96 = 8,978.24/x
3. Step 3: Cross multiply
   9,742.88x = 13,410.96 × 8,978.24
4. Step 4: Simplify right side
   9,742.88x = 120,406,817.51
5. Step 5: Solve for x
   x = 120,406,817.51/9,742.88
6. Step 6: Final answer
   x = 12,358.44