Finding the Fourth Proportional to 10,131.77, 13,980.77 and 5,884.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,131.77 : 13,980.77 = 5,884.23 : x
2. Step 2: Convert to fraction form
   10,131.77/13,980.77 = 5,884.23/x
3. Step 3: Cross multiply
   10,131.77x = 13,980.77 × 5,884.23
4. Step 4: Simplify right side
   10,131.77x = 82,266,036.84
5. Step 5: Solve for x
   x = 82,266,036.84/10,131.77
6. Step 6: Final answer
   x = 8,119.62