Finding the Fourth Proportional to 9,381.24, 12,946.56 and 5,189.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.24 : 12,946.56 = 5,189.76 : x
2. Step 2: Convert to fraction form
   9,381.24/12,946.56 = 5,189.76/x
3. Step 3: Cross multiply
   9,381.24x = 12,946.56 × 5,189.76
4. Step 4: Simplify right side
   9,381.24x = 67,189,539.23
5. Step 5: Solve for x
   x = 67,189,539.23/9,381.24
6. Step 6: Final answer
   x = 7,162.12