Finding the Fourth Proportional to 9,141.76, 12,616.32 and 5,164.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.76 : 12,616.32 = 5,164.12 : x
2. Step 2: Convert to fraction form
   9,141.76/12,616.32 = 5,164.12/x
3. Step 3: Cross multiply
   9,141.76x = 12,616.32 × 5,164.12
4. Step 4: Simplify right side
   9,141.76x = 65,152,190.44
5. Step 5: Solve for x
   x = 65,152,190.44/9,141.76
6. Step 6: Final answer
   x = 7,126.88