Finding the Fourth Proportional to 76,795.14, 105,983.42 and 42,814.56

Step by Step Solution

1. Step 1: Write the proportion equation
   76,795.14 : 105,983.42 = 42,814.56 : x
2. Step 2: Convert to fraction form
   76,795.14/105,983.42 = 42,814.56/x
3. Step 3: Cross multiply
   76,795.14x = 105,983.42 × 42,814.56
4. Step 4: Simplify right side
   76,795.14x = 4,537,633,280.52
5. Step 5: Solve for x
   x = 4,537,633,280.52/76,795.14
6. Step 6: Final answer
   x = 59,087.51