Finding the Fourth Proportional to 76,498.50, 105,577.83 and 42,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,498.50 : 105,577.83 = 42,964.50 : x
2. Step 2: Convert to fraction form
   76,498.50/105,577.83 = 42,964.50/x
3. Step 3: Cross multiply
   76,498.50x = 105,577.83 × 42,964.50
4. Step 4: Simplify right side
   76,498.50x = 4,536,098,677.04
5. Step 5: Solve for x
   x = 4,536,098,677.04/76,498.50
6. Step 6: Final answer
   x = 59,296.57