Finding the Fourth Proportional to 1,421.47, 1,961.78 and 832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.47 : 1,961.78 = 832.50 : x
2. Step 2: Convert to fraction form
   1,421.47/1,961.78 = 832.50/x
3. Step 3: Cross multiply
   1,421.47x = 1,961.78 × 832.50
4. Step 4: Simplify right side
   1,421.47x = 1,633,167.88
5. Step 5: Solve for x
   x = 1,633,167.88/1,421.47
6. Step 6: Final answer
   x = 1,148.93