Finding the Fourth Proportional to 3,837.69, 5,722.94 and 3,802.66

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837.69 : 5,722.94 = 3,802.66 : x
2. Step 2: Convert to fraction form
   3,837.69/5,722.94 = 3,802.66/x
3. Step 3: Cross multiply
   3,837.69x = 5,722.94 × 3,802.66
4. Step 4: Simplify right side
   3,837.69x = 21,762,395.02
5. Step 5: Solve for x
   x = 21,762,395.02/3,837.69
6. Step 6: Final answer
   x = 5,670.70