Finding the Fourth Proportional to 85,782.96, 128,678.54 and 41,447

Step by Step Solution

1. Step 1: Write the proportion equation
   85,782.96 : 128,678.54 = 41,447 : x
2. Step 2: Convert to fraction form
   85,782.96/128,678.54 = 41,447/x
3. Step 3: Cross multiply
   85,782.96x = 128,678.54 × 41,447
4. Step 4: Simplify right side
   85,782.96x = 5,333,339,447.38
5. Step 5: Solve for x
   x = 5,333,339,447.38/85,782.96
6. Step 6: Final answer
   x = 62,172.48