Finding the Fourth Proportional to 3,814.74, 5,726.16 and 3,378.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814.74 : 5,726.16 = 3,378.82 : x
2. Step 2: Convert to fraction form
   3,814.74/5,726.16 = 3,378.82/x
3. Step 3: Cross multiply
   3,814.74x = 5,726.16 × 3,378.82
4. Step 4: Simplify right side
   3,814.74x = 19,347,681.83
5. Step 5: Solve for x
   x = 19,347,681.83/3,814.74
6. Step 6: Final answer
   x = 5,071.82