Finding the Fourth Proportional to 42,678.78, 64,021.01 and 13,096.77

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678.78 : 64,021.01 = 13,096.77 : x
2. Step 2: Convert to fraction form
   42,678.78/64,021.01 = 13,096.77/x
3. Step 3: Cross multiply
   42,678.78x = 64,021.01 × 13,096.77
4. Step 4: Simplify right side
   42,678.78x = 838,468,377.65
5. Step 5: Solve for x
   x = 838,468,377.65/42,678.78
6. Step 6: Final answer
   x = 19,646.02