Finding the Fourth Proportional to 10,106.07, 13,946.35 and 5,629.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.07 : 13,946.35 = 5,629.78 : x
2. Step 2: Convert to fraction form
   10,106.07/13,946.35 = 5,629.78/x
3. Step 3: Cross multiply
   10,106.07x = 13,946.35 × 5,629.78
4. Step 4: Simplify right side
   10,106.07x = 78,514,784.42
5. Step 5: Solve for x
   x = 78,514,784.42/10,106.07
6. Step 6: Final answer
   x = 7,769.07