Finding the Fourth Proportional to 76,561.69, 105,647.09 and 42,564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   76,561.69 : 105,647.09 = 42,564.72 : x
2. Step 2: Convert to fraction form
   76,561.69/105,647.09 = 42,564.72/x
3. Step 3: Cross multiply
   76,561.69x = 105,647.09 × 42,564.72
4. Step 4: Simplify right side
   76,561.69x = 4,496,838,988.02
5. Step 5: Solve for x
   x = 4,496,838,988.02/76,561.69
6. Step 6: Final answer
   x = 58,734.85