Finding the Fourth Proportional to 10,118.40, 13,962.93 and 5,642.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.40 : 13,962.93 = 5,642.64 : x
2. Step 2: Convert to fraction form
   10,118.40/13,962.93 = 5,642.64/x
3. Step 3: Cross multiply
   10,118.40x = 13,962.93 × 5,642.64
4. Step 4: Simplify right side
   10,118.40x = 78,787,787.34
5. Step 5: Solve for x
   x = 78,787,787.34/10,118.40
6. Step 6: Final answer
   x = 7,786.59