Finding the Fourth Proportional to 9,381.32, 12,946.56 and 5,189.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.32 : 12,946.56 = 5,189.60 : x
2. Step 2: Convert to fraction form
   9,381.32/12,946.56 = 5,189.60/x
3. Step 3: Cross multiply
   9,381.32x = 12,946.56 × 5,189.60
4. Step 4: Simplify right side
   9,381.32x = 67,187,467.78
5. Step 5: Solve for x
   x = 67,187,467.78/9,381.32
6. Step 6: Final answer
   x = 7,161.84