Finding the Fourth Proportional to 2,385.64, 3,577.18 and 1,085.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.64 : 3,577.18 = 1,085.96 : x
2. Step 2: Convert to fraction form
   2,385.64/3,577.18 = 1,085.96/x
3. Step 3: Cross multiply
   2,385.64x = 3,577.18 × 1,085.96
4. Step 4: Simplify right side
   2,385.64x = 3,884,674.39
5. Step 5: Solve for x
   x = 3,884,674.39/2,385.64
6. Step 6: Final answer
   x = 1,628.36