Finding the Fourth Proportional to 12,569.15, 18,846.50 and 5,178.71

Step by Step Solution

1. Step 1: Write the proportion equation
   12,569.15 : 18,846.50 = 5,178.71 : x
2. Step 2: Convert to fraction form
   12,569.15/18,846.50 = 5,178.71/x
3. Step 3: Cross multiply
   12,569.15x = 18,846.50 × 5,178.71
4. Step 4: Simplify right side
   12,569.15x = 97,600,437.89
5. Step 5: Solve for x
   x = 97,600,437.89/12,569.15
6. Step 6: Final answer
   x = 7,765.08