Finding the Fourth Proportional to 10,018.93, 13,826.25 and 5,770.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.93 : 13,826.25 = 5,770.74 : x
2. Step 2: Convert to fraction form
   10,018.93/13,826.25 = 5,770.74/x
3. Step 3: Cross multiply
   10,018.93x = 13,826.25 × 5,770.74
4. Step 4: Simplify right side
   10,018.93x = 79,787,639.22
5. Step 5: Solve for x
   x = 79,787,639.22/10,018.93
6. Step 6: Final answer
   x = 7,963.69