Finding the Fourth Proportional to 76,494, 105,561.76 and 42,960

Step by Step Solution

1. Step 1: Write the proportion equation
   76,494 : 105,561.76 = 42,960 : x
2. Step 2: Convert to fraction form
   76,494/105,561.76 = 42,960/x
3. Step 3: Cross multiply
   76,494x = 105,561.76 × 42,960
4. Step 4: Simplify right side
   76,494x = 4,534,933,209.60
5. Step 5: Solve for x
   x = 4,534,933,209.60/76,494
6. Step 6: Final answer
   x = 59,284.82