Finding the Fourth Proportional to 10,091.22, 13,924.27 and 5,614.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.22 : 13,924.27 = 5,614.96 : x
2. Step 2: Convert to fraction form
   10,091.22/13,924.27 = 5,614.96/x
3. Step 3: Cross multiply
   10,091.22x = 13,924.27 × 5,614.96
4. Step 4: Simplify right side
   10,091.22x = 78,184,219.08
5. Step 5: Solve for x
   x = 78,184,219.08/10,091.22
6. Step 6: Final answer
   x = 7,747.75