Finding the Fourth Proportional to 78,256.80, 107,994.42 and 42,446.68

Step by Step Solution

1. Step 1: Write the proportion equation
   78,256.80 : 107,994.42 = 42,446.68 : x
2. Step 2: Convert to fraction form
   78,256.80/107,994.42 = 42,446.68/x
3. Step 3: Cross multiply
   78,256.80x = 107,994.42 × 42,446.68
4. Step 4: Simplify right side
   78,256.80x = 4,584,004,587.53
5. Step 5: Solve for x
   x = 4,584,004,587.53/78,256.80
6. Step 6: Final answer
   x = 58,576.44