Finding the Fourth Proportional to 12,871.48, 19,305.30 and 5,085.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,871.48 : 19,305.30 = 5,085.64 : x
2. Step 2: Convert to fraction form
   12,871.48/19,305.30 = 5,085.64/x
3. Step 3: Cross multiply
   12,871.48x = 19,305.30 × 5,085.64
4. Step 4: Simplify right side
   12,871.48x = 98,179,805.89
5. Step 5: Solve for x
   x = 98,179,805.89/12,871.48
6. Step 6: Final answer
   x = 7,627.70