Finding the Fourth Proportional to 10,119.12, 13,964.47 and 5,643.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.12 : 13,964.47 = 5,643.16 : x
2. Step 2: Convert to fraction form
   10,119.12/13,964.47 = 5,643.16/x
3. Step 3: Cross multiply
   10,119.12x = 13,964.47 × 5,643.16
4. Step 4: Simplify right side
   10,119.12x = 78,803,710.31
5. Step 5: Solve for x
   x = 78,803,710.31/10,119.12
6. Step 6: Final answer
   x = 7,787.61