Finding the Fourth Proportional to 10,102.49, 13,941.06 and 5,626.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.49 : 13,941.06 = 5,626.14 : x
2. Step 2: Convert to fraction form
   10,102.49/13,941.06 = 5,626.14/x
3. Step 3: Cross multiply
   10,102.49x = 13,941.06 × 5,626.14
4. Step 4: Simplify right side
   10,102.49x = 78,434,380.00
5. Step 5: Solve for x
   x = 78,434,380.00/10,102.49
6. Step 6: Final answer
   x = 7,763.87