Finding the Fourth Proportional to 12,856.42, 19,269.78 and 5,916.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,856.42 : 19,269.78 = 5,916.34 : x
2. Step 2: Convert to fraction form
   12,856.42/19,269.78 = 5,916.34/x
3. Step 3: Cross multiply
   12,856.42x = 19,269.78 × 5,916.34
4. Step 4: Simplify right side
   12,856.42x = 114,006,570.21
5. Step 5: Solve for x
   x = 114,006,570.21/12,856.42
6. Step 6: Final answer
   x = 8,867.68