Finding the Fourth Proportional to 10,886.80, 15,002.28 and 7,734.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,886.80 : 15,002.28 = 7,734.16 : x
2. Step 2: Convert to fraction form
   10,886.80/15,002.28 = 7,734.16/x
3. Step 3: Cross multiply
   10,886.80x = 15,002.28 × 7,734.16
4. Step 4: Simplify right side
   10,886.80x = 116,030,033.88
5. Step 5: Solve for x
   x = 116,030,033.88/10,886.80
6. Step 6: Final answer
   x = 10,657.86