Finding the Fourth Proportional to 105,677.70, 158,538.15 and 35,564.10

Step by Step Solution

1. Step 1: Write the proportion equation
   105,677.70 : 158,538.15 = 35,564.10 : x
2. Step 2: Convert to fraction form
   105,677.70/158,538.15 = 35,564.10/x
3. Step 3: Cross multiply
   105,677.70x = 158,538.15 × 35,564.10
4. Step 4: Simplify right side
   105,677.70x = 5,638,266,620.42
5. Step 5: Solve for x
   x = 5,638,266,620.42/105,677.70
6. Step 6: Final answer
   x = 53,353.42