Finding the Fourth Proportional to 10,978.32, 16,463.40 and 6,812.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.32 : 16,463.40 = 6,812.16 : x
2. Step 2: Convert to fraction form
   10,978.32/16,463.40 = 6,812.16/x
3. Step 3: Cross multiply
   10,978.32x = 16,463.40 × 6,812.16
4. Step 4: Simplify right side
   10,978.32x = 112,151,314.94
5. Step 5: Solve for x
   x = 112,151,314.94/10,978.32
6. Step 6: Final answer
   x = 10,215.71