Finding the Fourth Proportional to 76,778.17, 105,949.49 and 42,316.05

Step by Step Solution

1. Step 1: Write the proportion equation
   76,778.17 : 105,949.49 = 42,316.05 : x
2. Step 2: Convert to fraction form
   76,778.17/105,949.49 = 42,316.05/x
3. Step 3: Cross multiply
   76,778.17x = 105,949.49 × 42,316.05
4. Step 4: Simplify right side
   76,778.17x = 4,483,363,916.31
5. Step 5: Solve for x
   x = 4,483,363,916.31/76,778.17
6. Step 6: Final answer
   x = 58,393.73