Finding the Fourth Proportional to 76,588.15, 105,690.66 and 42,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,588.15 : 105,690.66 = 42,596.50 : x
2. Step 2: Convert to fraction form
   76,588.15/105,690.66 = 42,596.50/x
3. Step 3: Cross multiply
   76,588.15x = 105,690.66 × 42,596.50
4. Step 4: Simplify right side
   76,588.15x = 4,502,052,198.69
5. Step 5: Solve for x
   x = 4,502,052,198.69/76,588.15
6. Step 6: Final answer
   x = 58,782.62