Finding the Fourth Proportional to 12,772.88, 17,621.16 and 7,802

Step by Step Solution

1. Step 1: Write the proportion equation
   12,772.88 : 17,621.16 = 7,802 : x
2. Step 2: Convert to fraction form
   12,772.88/17,621.16 = 7,802/x
3. Step 3: Cross multiply
   12,772.88x = 17,621.16 × 7,802
4. Step 4: Simplify right side
   12,772.88x = 137,480,290.32
5. Step 5: Solve for x
   x = 137,480,290.32/12,772.88
6. Step 6: Final answer
   x = 10,763.45