Finding the Fourth Proportional to 10,091.77, 13,928.67 and 5,842.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.77 : 13,928.67 = 5,842.24 : x
2. Step 2: Convert to fraction form
   10,091.77/13,928.67 = 5,842.24/x
3. Step 3: Cross multiply
   10,091.77x = 13,928.67 × 5,842.24
4. Step 4: Simplify right side
   10,091.77x = 81,374,633.02
5. Step 5: Solve for x
   x = 81,374,633.02/10,091.77
6. Step 6: Final answer
   x = 8,063.46