Finding the Fourth Proportional to 10,206.85, 15,285.57 and 5,196.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.85 : 15,285.57 = 5,196.07 : x
2. Step 2: Convert to fraction form
   10,206.85/15,285.57 = 5,196.07/x
3. Step 3: Cross multiply
   10,206.85x = 15,285.57 × 5,196.07
4. Step 4: Simplify right side
   10,206.85x = 79,424,891.71
5. Step 5: Solve for x
   x = 79,424,891.71/10,206.85
6. Step 6: Final answer
   x = 7,781.53