Finding the Fourth Proportional to 10,656, 15,989.76 and 5,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,656 : 15,989.76 = 5,184 : x
2. Step 2: Convert to fraction form
   10,656/15,989.76 = 5,184/x
3. Step 3: Cross multiply
   10,656x = 15,989.76 × 5,184
4. Step 4: Simplify right side
   10,656x = 82,890,915.84
5. Step 5: Solve for x
   x = 82,890,915.84/10,656
6. Step 6: Final answer
   x = 7,778.80