Finding the Fourth Proportional to 10,028.28, 13,840.02 and 5,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,028.28 : 13,840.02 = 5,779.50 : x
2. Step 2: Convert to fraction form
   10,028.28/13,840.02 = 5,779.50/x
3. Step 3: Cross multiply
   10,028.28x = 13,840.02 × 5,779.50
4. Step 4: Simplify right side
   10,028.28x = 79,988,395.59
5. Step 5: Solve for x
   x = 79,988,395.59/10,028.28
6. Step 6: Final answer
   x = 7,976.28