Finding the Fourth Proportional to 10,103.58, 13,942.85 and 5,627.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.58 : 13,942.85 = 5,627.07 : x
2. Step 2: Convert to fraction form
   10,103.58/13,942.85 = 5,627.07/x
3. Step 3: Cross multiply
   10,103.58x = 13,942.85 × 5,627.07
4. Step 4: Simplify right side
   10,103.58x = 78,457,364.81
5. Step 5: Solve for x
   x = 78,457,364.81/10,103.58
6. Step 6: Final answer
   x = 7,765.30