Finding the Fourth Proportional to 12,856.76, 19,287.72 and 5,461.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,856.76 : 19,287.72 = 5,461.16 : x
2. Step 2: Convert to fraction form
   12,856.76/19,287.72 = 5,461.16/x
3. Step 3: Cross multiply
   12,856.76x = 19,287.72 × 5,461.16
4. Step 4: Simplify right side
   12,856.76x = 105,333,324.96
5. Step 5: Solve for x
   x = 105,333,324.96/12,856.76
6. Step 6: Final answer
   x = 8,192.84