Finding the Fourth Proportional to 12,810.84, 17,680.12 and 7,776.32

Step by Step Solution

1. Step 1: Write the proportion equation
   12,810.84 : 17,680.12 = 7,776.32 : x
2. Step 2: Convert to fraction form
   12,810.84/17,680.12 = 7,776.32/x
3. Step 3: Cross multiply
   12,810.84x = 17,680.12 × 7,776.32
4. Step 4: Simplify right side
   12,810.84x = 137,486,270.76
5. Step 5: Solve for x
   x = 137,486,270.76/12,810.84
6. Step 6: Final answer
   x = 10,732.03