Finding the Fourth Proportional to 2,385.42, 3,577.92 and 826.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.42 : 3,577.92 = 826.32 : x
2. Step 2: Convert to fraction form
   2,385.42/3,577.92 = 826.32/x
3. Step 3: Cross multiply
   2,385.42x = 3,577.92 × 826.32
4. Step 4: Simplify right side
   2,385.42x = 2,956,506.85
5. Step 5: Solve for x
   x = 2,956,506.85/2,385.42
6. Step 6: Final answer
   x = 1,239.41