Finding the Fourth Proportional to 9,595.76, 14,381.64 and 5,142.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,595.76 : 14,381.64 = 5,142.42 : x
2. Step 2: Convert to fraction form
   9,595.76/14,381.64 = 5,142.42/x
3. Step 3: Cross multiply
   9,595.76x = 14,381.64 × 5,142.42
4. Step 4: Simplify right side
   9,595.76x = 73,956,433.17
5. Step 5: Solve for x
   x = 73,956,433.17/9,595.76
6. Step 6: Final answer
   x = 7,707.20