Finding the Fourth Proportional to 10,769.90, 16,155.21 and 2,978.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.90 : 16,155.21 = 2,978.06 : x
2. Step 2: Convert to fraction form
   10,769.90/16,155.21 = 2,978.06/x
3. Step 3: Cross multiply
   10,769.90x = 16,155.21 × 2,978.06
4. Step 4: Simplify right side
   10,769.90x = 48,111,184.69
5. Step 5: Solve for x
   x = 48,111,184.69/10,769.90
6. Step 6: Final answer
   x = 4,467.19