Finding the Fourth Proportional to 77,096.84, 106,411.42 and 50,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,096.84 : 106,411.42 = 50,192.50 : x
2. Step 2: Convert to fraction form
   77,096.84/106,411.42 = 50,192.50/x
3. Step 3: Cross multiply
   77,096.84x = 106,411.42 × 50,192.50
4. Step 4: Simplify right side
   77,096.84x = 5,341,055,198.35
5. Step 5: Solve for x
   x = 5,341,055,198.35/77,096.84
6. Step 6: Final answer
   x = 69,277.23