Finding the Fourth Proportional to 10,017.81, 13,809.84 and 7,886.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.81 : 13,809.84 = 7,886.49 : x
2. Step 2: Convert to fraction form
   10,017.81/13,809.84 = 7,886.49/x
3. Step 3: Cross multiply
   10,017.81x = 13,809.84 × 7,886.49
4. Step 4: Simplify right side
   10,017.81x = 108,911,165.06
5. Step 5: Solve for x
   x = 108,911,165.06/10,017.81
6. Step 6: Final answer
   x = 10,871.75