Finding the Fourth Proportional to 10,118.03, 13,962.15 and 5,642.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.03 : 13,962.15 = 5,642.01 : x
2. Step 2: Convert to fraction form
   10,118.03/13,962.15 = 5,642.01/x
3. Step 3: Cross multiply
   10,118.03x = 13,962.15 × 5,642.01
4. Step 4: Simplify right side
   10,118.03x = 78,774,589.92
5. Step 5: Solve for x
   x = 78,774,589.92/10,118.03
6. Step 6: Final answer
   x = 7,785.57