Finding the Fourth Proportional to 10,033.06, 13,844.14 and 5,783.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,033.06 : 13,844.14 = 5,783.78 : x
2. Step 2: Convert to fraction form
   10,033.06/13,844.14 = 5,783.78/x
3. Step 3: Cross multiply
   10,033.06x = 13,844.14 × 5,783.78
4. Step 4: Simplify right side
   10,033.06x = 80,071,515.94
5. Step 5: Solve for x
   x = 80,071,515.94/10,033.06
6. Step 6: Final answer
   x = 7,980.77