Finding the Fourth Proportional to 10,106.52, 13,945.32 and 5,630.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.52 : 13,945.32 = 5,630.16 : x
2. Step 2: Convert to fraction form
   10,106.52/13,945.32 = 5,630.16/x
3. Step 3: Cross multiply
   10,106.52x = 13,945.32 × 5,630.16
4. Step 4: Simplify right side
   10,106.52x = 78,514,382.85
5. Step 5: Solve for x
   x = 78,514,382.85/10,106.52
6. Step 6: Final answer
   x = 7,768.69