Finding the Fourth Proportional to 1,421.39, 1,961.52 and 824.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.39 : 1,961.52 = 824.00 : x
2. Step 2: Convert to fraction form
   1,421.39/1,961.52 = 824.00/x
3. Step 3: Cross multiply
   1,421.39x = 1,961.52 × 824.00
4. Step 4: Simplify right side
   1,421.39x = 1,616,278.55
5. Step 5: Solve for x
   x = 1,616,278.55/1,421.39
6. Step 6: Final answer
   x = 1,137.12