Finding the Fourth Proportional to 1,524.65, 2,104.02 and 826.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.65 : 2,104.02 = 826.02 : x
2. Step 2: Convert to fraction form
   1,524.65/2,104.02 = 826.02/x
3. Step 3: Cross multiply
   1,524.65x = 2,104.02 × 826.02
4. Step 4: Simplify right side
   1,524.65x = 1,737,967.86
5. Step 5: Solve for x
   x = 1,737,967.86/1,524.65
6. Step 6: Final answer
   x = 1,139.91