Finding the Fourth Proportional to 5,196.07, 7,781.66 and 3,786.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.07 : 7,781.66 = 3,786.71 : x
2. Step 2: Convert to fraction form
   5,196.07/7,781.66 = 3,786.71/x
3. Step 3: Cross multiply
   5,196.07x = 7,781.66 × 3,786.71
4. Step 4: Simplify right side
   5,196.07x = 29,466,889.74
5. Step 5: Solve for x
   x = 29,466,889.74/5,196.07
6. Step 6: Final answer
   x = 5,671.00