Finding the Fourth Proportional to 10,102.21, 13,941.18 and 5,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.21 : 13,941.18 = 5,626.25 : x
2. Step 2: Convert to fraction form
   10,102.21/13,941.18 = 5,626.25/x
3. Step 3: Cross multiply
   10,102.21x = 13,941.18 × 5,626.25
4. Step 4: Simplify right side
   10,102.21x = 78,436,563.98
5. Step 5: Solve for x
   x = 78,436,563.98/10,102.21
6. Step 6: Final answer
   x = 7,764.30