Finding the Fourth Proportional to 1,365.12, 1,886.49 and 1,102.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.12 : 1,886.49 = 1,102.68 : x
2. Step 2: Convert to fraction form
   1,365.12/1,886.49 = 1,102.68/x
3. Step 3: Cross multiply
   1,365.12x = 1,886.49 × 1,102.68
4. Step 4: Simplify right side
   1,365.12x = 2,080,194.79
5. Step 5: Solve for x
   x = 2,080,194.79/1,365.12
6. Step 6: Final answer
   x = 1,523.82