Finding the Fourth Proportional to 76,316.50, 105,316.77 and 42,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,316.50 : 105,316.77 = 42,782.50 : x
2. Step 2: Convert to fraction form
   76,316.50/105,316.77 = 42,782.50/x
3. Step 3: Cross multiply
   76,316.50x = 105,316.77 × 42,782.50
4. Step 4: Simplify right side
   76,316.50x = 4,505,714,712.53
5. Step 5: Solve for x
   x = 4,505,714,712.53/76,316.50
6. Step 6: Final answer
   x = 59,039.85