Finding the Fourth Proportional to 10,118.34, 13,962.06 and 5,641.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.34 : 13,962.06 = 5,641.83 : x
2. Step 2: Convert to fraction form
   10,118.34/13,962.06 = 5,641.83/x
3. Step 3: Cross multiply
   10,118.34x = 13,962.06 × 5,641.83
4. Step 4: Simplify right side
   10,118.34x = 78,771,568.97
5. Step 5: Solve for x
   x = 78,771,568.97/10,118.34
6. Step 6: Final answer
   x = 7,785.03