Finding the Fourth Proportional to 10,026.26, 13,837.28 and 5,777.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.26 : 13,837.28 = 5,777.49 : x
2. Step 2: Convert to fraction form
   10,026.26/13,837.28 = 5,777.49/x
3. Step 3: Cross multiply
   10,026.26x = 13,837.28 × 5,777.49
4. Step 4: Simplify right side
   10,026.26x = 79,944,746.83
5. Step 5: Solve for x
   x = 79,944,746.83/10,026.26
6. Step 6: Final answer
   x = 7,973.54