Finding the Fourth Proportional to 76,493.75, 105,578.24 and 42,513.91

Step by Step Solution

1. Step 1: Write the proportion equation
   76,493.75 : 105,578.24 = 42,513.91 : x
2. Step 2: Convert to fraction form
   76,493.75/105,578.24 = 42,513.91/x
3. Step 3: Cross multiply
   76,493.75x = 105,578.24 × 42,513.91
4. Step 4: Simplify right side
   76,493.75x = 4,488,543,793.32
5. Step 5: Solve for x
   x = 4,488,543,793.32/76,493.75
6. Step 6: Final answer
   x = 58,678.57