Finding the Fourth Proportional to 10,102.59, 13,942.01 and 5,626.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.59 : 13,942.01 = 5,626.34 : x
2. Step 2: Convert to fraction form
   10,102.59/13,942.01 = 5,626.34/x
3. Step 3: Cross multiply
   10,102.59x = 13,942.01 × 5,626.34
4. Step 4: Simplify right side
   10,102.59x = 78,442,540.83
5. Step 5: Solve for x
   x = 78,442,540.83/10,102.59
6. Step 6: Final answer
   x = 7,764.60