Finding the Fourth Proportional to 10,072.10, 15,122.55 and 5,698.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.10 : 15,122.55 = 5,698.10 : x
2. Step 2: Convert to fraction form
   10,072.10/15,122.55 = 5,698.10/x
3. Step 3: Cross multiply
   10,072.10x = 15,122.55 × 5,698.10
4. Step 4: Simplify right side
   10,072.10x = 86,169,802.16
5. Step 5: Solve for x
   x = 86,169,802.16/10,072.10
6. Step 6: Final answer
   x = 8,555.30