Finding the Fourth Proportional to 109,412.70, 164,003.85 and 42,827.10

Step by Step Solution

1. Step 1: Write the proportion equation
   109,412.70 : 164,003.85 = 42,827.10 : x
2. Step 2: Convert to fraction form
   109,412.70/164,003.85 = 42,827.10/x
3. Step 3: Cross multiply
   109,412.70x = 164,003.85 × 42,827.10
4. Step 4: Simplify right side
   109,412.70x = 7,023,809,284.34
5. Step 5: Solve for x
   x = 7,023,809,284.34/109,412.70
6. Step 6: Final answer
   x = 64,195.56