Finding the Fourth Proportional to 10,102.34, 13,941.06 and 5,626.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.34 : 13,941.06 = 5,626.02 : x
2. Step 2: Convert to fraction form
   10,102.34/13,941.06 = 5,626.02/x
3. Step 3: Cross multiply
   10,102.34x = 13,941.06 × 5,626.02
4. Step 4: Simplify right side
   10,102.34x = 78,432,682.38
5. Step 5: Solve for x
   x = 78,432,682.38/10,102.34
6. Step 6: Final answer
   x = 7,763.81