Finding the Fourth Proportional to 10,106.97, 13,948.04 and 5,630.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.97 : 13,948.04 = 5,630.72 : x
2. Step 2: Convert to fraction form
   10,106.97/13,948.04 = 5,630.72/x
3. Step 3: Cross multiply
   10,106.97x = 13,948.04 × 5,630.72
4. Step 4: Simplify right side
   10,106.97x = 78,537,452.13
5. Step 5: Solve for x
   x = 78,537,452.13/10,106.97
6. Step 6: Final answer
   x = 7,770.63