Finding the Fourth Proportional to 10,103.48, 13,942.46 and 5,627.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.48 : 13,942.46 = 5,627.00 : x
2. Step 2: Convert to fraction form
   10,103.48/13,942.46 = 5,627.00/x
3. Step 3: Cross multiply
   10,103.48x = 13,942.46 × 5,627.00
4. Step 4: Simplify right side
   10,103.48x = 78,454,271.34
5. Step 5: Solve for x
   x = 78,454,271.34/10,103.48
6. Step 6: Final answer
   x = 7,765.08