Finding the Fourth Proportional to 9,381.08, 12,946.56 and 5,189.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.08 : 12,946.56 = 5,189.24 : x
2. Step 2: Convert to fraction form
   9,381.08/12,946.56 = 5,189.24/x
3. Step 3: Cross multiply
   9,381.08x = 12,946.56 × 5,189.24
4. Step 4: Simplify right side
   9,381.08x = 67,182,807.01
5. Step 5: Solve for x
   x = 67,182,807.01/9,381.08
6. Step 6: Final answer
   x = 7,161.52