Finding the Fourth Proportional to 76,584.50, 105,690.12 and 42,596.42

Step by Step Solution

1. Step 1: Write the proportion equation
   76,584.50 : 105,690.12 = 42,596.42 : x
2. Step 2: Convert to fraction form
   76,584.50/105,690.12 = 42,596.42/x
3. Step 3: Cross multiply
   76,584.50x = 105,690.12 × 42,596.42
4. Step 4: Simplify right side
   76,584.50x = 4,502,020,741.37
5. Step 5: Solve for x
   x = 4,502,020,741.37/76,584.50
6. Step 6: Final answer
   x = 58,785.01