Finding the Fourth Proportional to 102,740.41, 141,742.69 and 75,947.23

Step by Step Solution

1. Step 1: Write the proportion equation
   102,740.41 : 141,742.69 = 75,947.23 : x
2. Step 2: Convert to fraction form
   102,740.41/141,742.69 = 75,947.23/x
3. Step 3: Cross multiply
   102,740.41x = 141,742.69 × 75,947.23
4. Step 4: Simplify right side
   102,740.41x = 10,764,964,678.25
5. Step 5: Solve for x
   x = 10,764,964,678.25/102,740.41
6. Step 6: Final answer
   x = 104,778.29