Finding the Fourth Proportional to 10,119.04, 13,962.86 and 5,642.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.04 : 13,962.86 = 5,642.24 : x
2. Step 2: Convert to fraction form
   10,119.04/13,962.86 = 5,642.24/x
3. Step 3: Cross multiply
   10,119.04x = 13,962.86 × 5,642.24
4. Step 4: Simplify right side
   10,119.04x = 78,781,807.21
5. Step 5: Solve for x
   x = 78,781,807.21/10,119.04
6. Step 6: Final answer
   x = 7,785.50