Finding the Fourth Proportional to 76,880.34, 106,096.23 and 42,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,880.34 : 106,096.23 = 42,889.50 : x
2. Step 2: Convert to fraction form
   76,880.34/106,096.23 = 42,889.50/x
3. Step 3: Cross multiply
   76,880.34x = 106,096.23 × 42,889.50
4. Step 4: Simplify right side
   76,880.34x = 4,550,414,256.59
5. Step 5: Solve for x
   x = 4,550,414,256.59/76,880.34
6. Step 6: Final answer
   x = 59,188.27