Finding the Fourth Proportional to 10,120.06, 13,965.61 and 5,643.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.06 : 13,965.61 = 5,643.86 : x
2. Step 2: Convert to fraction form
   10,120.06/13,965.61 = 5,643.86/x
3. Step 3: Cross multiply
   10,120.06x = 13,965.61 × 5,643.86
4. Step 4: Simplify right side
   10,120.06x = 78,819,947.65
5. Step 5: Solve for x
   x = 78,819,947.65/10,120.06
6. Step 6: Final answer
   x = 7,788.49