Finding the Fourth Proportional to 75,841.86, 113,762.83 and 31,456.69

Step by Step Solution

1. Step 1: Write the proportion equation
   75,841.86 : 113,762.83 = 31,456.69 : x
2. Step 2: Convert to fraction form
   75,841.86/113,762.83 = 31,456.69/x
3. Step 3: Cross multiply
   75,841.86x = 113,762.83 × 31,456.69
4. Step 4: Simplify right side
   75,841.86x = 3,578,602,076.83
5. Step 5: Solve for x
   x = 3,578,602,076.83/75,841.86
6. Step 6: Final answer
   x = 47,185.05