Finding the Fourth Proportional to 10,106.64, 13,946.82 and 5,630.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.64 : 13,946.82 = 5,630.04 : x
2. Step 2: Convert to fraction form
   10,106.64/13,946.82 = 5,630.04/x
3. Step 3: Cross multiply
   10,106.64x = 13,946.82 × 5,630.04
4. Step 4: Simplify right side
   10,106.64x = 78,521,154.47
5. Step 5: Solve for x
   x = 78,521,154.47/10,106.64
6. Step 6: Final answer
   x = 7,769.26