Finding the Fourth Proportional to 77,784, 107,341.92 and 42,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,784 : 107,341.92 = 42,456 : x
2. Step 2: Convert to fraction form
   77,784/107,341.92 = 42,456/x
3. Step 3: Cross multiply
   77,784x = 107,341.92 × 42,456
4. Step 4: Simplify right side
   77,784x = 4,557,308,555.52
5. Step 5: Solve for x
   x = 4,557,308,555.52/77,784
6. Step 6: Final answer
   x = 58,589.28