Finding the Fourth Proportional to 1,978.32, 2,967.33 and 824.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.32 : 2,967.33 = 824.07 : x
2. Step 2: Convert to fraction form
   1,978.32/2,967.33 = 824.07/x
3. Step 3: Cross multiply
   1,978.32x = 2,967.33 × 824.07
4. Step 4: Simplify right side
   1,978.32x = 2,445,301.85
5. Step 5: Solve for x
   x = 2,445,301.85/1,978.32
6. Step 6: Final answer
   x = 1,236.05