Finding the Fourth Proportional to 10,102.94, 13,942.30 and 5,627

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.94 : 13,942.30 = 5,627 : x
2. Step 2: Convert to fraction form
   10,102.94/13,942.30 = 5,627/x
3. Step 3: Cross multiply
   10,102.94x = 13,942.30 × 5,627
4. Step 4: Simplify right side
   10,102.94x = 78,453,322.10
5. Step 5: Solve for x
   x = 78,453,322.10/10,102.94
6. Step 6: Final answer
   x = 7,765.40