Finding the Fourth Proportional to 1,432.42, 1,976.76 and 826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.42 : 1,976.76 = 826.88 : x
2. Step 2: Convert to fraction form
   1,432.42/1,976.76 = 826.88/x
3. Step 3: Cross multiply
   1,432.42x = 1,976.76 × 826.88
4. Step 4: Simplify right side
   1,432.42x = 1,634,543.31
5. Step 5: Solve for x
   x = 1,634,543.31/1,432.42
6. Step 6: Final answer
   x = 1,141.11