Finding the Fourth Proportional to 10,116.58, 13,960.89 and 5,640.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.58 : 13,960.89 = 5,640.23 : x
2. Step 2: Convert to fraction form
   10,116.58/13,960.89 = 5,640.23/x
3. Step 3: Cross multiply
   10,116.58x = 13,960.89 × 5,640.23
4. Step 4: Simplify right side
   10,116.58x = 78,742,665.51
5. Step 5: Solve for x
   x = 78,742,665.51/10,116.58
6. Step 6: Final answer
   x = 7,783.53