Finding the Fourth Proportional to 109,856.82, 164,770.65 and 30,977.40

Step by Step Solution

1. Step 1: Write the proportion equation
   109,856.82 : 164,770.65 = 30,977.40 : x
2. Step 2: Convert to fraction form
   109,856.82/164,770.65 = 30,977.40/x
3. Step 3: Cross multiply
   109,856.82x = 164,770.65 × 30,977.40
4. Step 4: Simplify right side
   109,856.82x = 5,104,166,333.31
5. Step 5: Solve for x
   x = 5,104,166,333.31/109,856.82
6. Step 6: Final answer
   x = 46,461.99