Finding the Fourth Proportional to 10,878.06, 16,323.22 and 4,637.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,878.06 : 16,323.22 = 4,637.40 : x
2. Step 2: Convert to fraction form
   10,878.06/16,323.22 = 4,637.40/x
3. Step 3: Cross multiply
   10,878.06x = 16,323.22 × 4,637.40
4. Step 4: Simplify right side
   10,878.06x = 75,697,300.43
5. Step 5: Solve for x
   x = 75,697,300.43/10,878.06
6. Step 6: Final answer
   x = 6,958.71