Finding the Fourth Proportional to 10,180.26, 14,048.06 and 5,642.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180.26 : 14,048.06 = 5,642.90 : x
2. Step 2: Convert to fraction form
   10,180.26/14,048.06 = 5,642.90/x
3. Step 3: Cross multiply
   10,180.26x = 14,048.06 × 5,642.90
4. Step 4: Simplify right side
   10,180.26x = 79,271,797.77
5. Step 5: Solve for x
   x = 79,271,797.77/10,180.26
6. Step 6: Final answer
   x = 7,786.81