Finding the Fourth Proportional to 10,019.06, 13,826.43 and 5,770.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.06 : 13,826.43 = 5,770.86 : x
2. Step 2: Convert to fraction form
   10,019.06/13,826.43 = 5,770.86/x
3. Step 3: Cross multiply
   10,019.06x = 13,826.43 × 5,770.86
4. Step 4: Simplify right side
   10,019.06x = 79,790,370.19
5. Step 5: Solve for x
   x = 79,790,370.19/10,019.06
6. Step 6: Final answer
   x = 7,963.86