Finding the Fourth Proportional to 10,026.84, 13,837.52 and 5,778.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.84 : 13,837.52 = 5,778.54 : x
2. Step 2: Convert to fraction form
   10,026.84/13,837.52 = 5,778.54/x
3. Step 3: Cross multiply
   10,026.84x = 13,837.52 × 5,778.54
4. Step 4: Simplify right side
   10,026.84x = 79,960,633.93
5. Step 5: Solve for x
   x = 79,960,633.93/10,026.84
6. Step 6: Final answer
   x = 7,974.66