Finding the Fourth Proportional to 10,118.70, 13,964.31 and 5,642.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.70 : 13,964.31 = 5,642.37 : x
2. Step 2: Convert to fraction form
   10,118.70/13,964.31 = 5,642.37/x
3. Step 3: Cross multiply
   10,118.70x = 13,964.31 × 5,642.37
4. Step 4: Simplify right side
   10,118.70x = 78,791,803.81
5. Step 5: Solve for x
   x = 78,791,803.81/10,118.70
6. Step 6: Final answer
   x = 7,786.75