Finding the Fourth Proportional to 1,199.42, 1,654.32 and 826.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.42 : 1,654.32 = 826.52 : x
2. Step 2: Convert to fraction form
   1,199.42/1,654.32 = 826.52/x
3. Step 3: Cross multiply
   1,199.42x = 1,654.32 × 826.52
4. Step 4: Simplify right side
   1,199.42x = 1,367,328.57
5. Step 5: Solve for x
   x = 1,367,328.57/1,199.42
6. Step 6: Final answer
   x = 1,139.99