Finding the Fourth Proportional to 105,884.96, 158,815.82 and 31,005.86

Step by Step Solution

1. Step 1: Write the proportion equation
   105,884.96 : 158,815.82 = 31,005.86 : x
2. Step 2: Convert to fraction form
   105,884.96/158,815.82 = 31,005.86/x
3. Step 3: Cross multiply
   105,884.96x = 158,815.82 × 31,005.86
4. Step 4: Simplify right side
   105,884.96x = 4,924,220,364.14
5. Step 5: Solve for x
   x = 4,924,220,364.14/105,884.96
6. Step 6: Final answer
   x = 46,505.38