Finding the Fourth Proportional to 106,956, 160,442.64 and 33,084

Step by Step Solution

1. Step 1: Write the proportion equation
   106,956 : 160,442.64 = 33,084 : x
2. Step 2: Convert to fraction form
   106,956/160,442.64 = 33,084/x
3. Step 3: Cross multiply
   106,956x = 160,442.64 × 33,084
4. Step 4: Simplify right side
   106,956x = 5,308,084,301.76
5. Step 5: Solve for x
   x = 5,308,084,301.76/106,956
6. Step 6: Final answer
   x = 49,628.67