Finding the Fourth Proportional to 12,871.82, 19,305.90 and 4,978.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,871.82 : 19,305.90 = 4,978.06 : x
2. Step 2: Convert to fraction form
   12,871.82/19,305.90 = 4,978.06/x
3. Step 3: Cross multiply
   12,871.82x = 19,305.90 × 4,978.06
4. Step 4: Simplify right side
   12,871.82x = 96,105,928.55
5. Step 5: Solve for x
   x = 96,105,928.55/12,871.82
6. Step 6: Final answer
   x = 7,466.38