Finding the Fourth Proportional to 2,574.32, 3,858.37 and 1,185.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.32 : 3,858.37 = 1,185.76 : x
2. Step 2: Convert to fraction form
   2,574.32/3,858.37 = 1,185.76/x
3. Step 3: Cross multiply
   2,574.32x = 3,858.37 × 1,185.76
4. Step 4: Simplify right side
   2,574.32x = 4,575,100.81
5. Step 5: Solve for x
   x = 4,575,100.81/2,574.32
6. Step 6: Final answer
   x = 1,777.21