Finding the Fourth Proportional to 3,985.93, 5,978.08 and 3,788.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,985.93 : 5,978.08 = 3,788.34 : x
2. Step 2: Convert to fraction form
   3,985.93/5,978.08 = 3,788.34/x
3. Step 3: Cross multiply
   3,985.93x = 5,978.08 × 3,788.34
4. Step 4: Simplify right side
   3,985.93x = 22,646,999.59
5. Step 5: Solve for x
   x = 22,646,999.59/3,985.93
6. Step 6: Final answer
   x = 5,681.74