Finding the Fourth Proportional to 10,102.82, 13,941.38 and 5,626.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.82 : 13,941.38 = 5,626.96 : x
2. Step 2: Convert to fraction form
   10,102.82/13,941.38 = 5,626.96/x
3. Step 3: Cross multiply
   10,102.82x = 13,941.38 × 5,626.96
4. Step 4: Simplify right side
   10,102.82x = 78,447,566.82
5. Step 5: Solve for x
   x = 78,447,566.82/10,102.82
6. Step 6: Final answer
   x = 7,764.92