Finding the Fourth Proportional to 1,583.82, 2,374.50 and 967.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.82 : 2,374.50 = 967.83 : x
2. Step 2: Convert to fraction form
   1,583.82/2,374.50 = 967.83/x
3. Step 3: Cross multiply
   1,583.82x = 2,374.50 × 967.83
4. Step 4: Simplify right side
   1,583.82x = 2,298,112.34
5. Step 5: Solve for x
   x = 2,298,112.34/1,583.82
6. Step 6: Final answer
   x = 1,450.99