Finding the Fourth Proportional to 76,965, 106,213.34 and 42,509.56

Step by Step Solution

1. Step 1: Write the proportion equation
   76,965 : 106,213.34 = 42,509.56 : x
2. Step 2: Convert to fraction form
   76,965/106,213.34 = 42,509.56/x
3. Step 3: Cross multiply
   76,965x = 106,213.34 × 42,509.56
4. Step 4: Simplify right side
   76,965x = 4,515,082,349.53
5. Step 5: Solve for x
   x = 4,515,082,349.53/76,965
6. Step 6: Final answer
   x = 58,664.10