Finding the Fourth Proportional to 2,385.46, 3,577.58 and 1,605.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.46 : 3,577.58 = 1,605.02 : x
2. Step 2: Convert to fraction form
   2,385.46/3,577.58 = 1,605.02/x
3. Step 3: Cross multiply
   2,385.46x = 3,577.58 × 1,605.02
4. Step 4: Simplify right side
   2,385.46x = 5,742,079.43
5. Step 5: Solve for x
   x = 5,742,079.43/2,385.46
6. Step 6: Final answer
   x = 2,407.12