Finding the Fourth Proportional to 75,826.72, 113,587.82 and 37,761.30

Step by Step Solution

1. Step 1: Write the proportion equation
   75,826.72 : 113,587.82 = 37,761.30 : x
2. Step 2: Convert to fraction form
   75,826.72/113,587.82 = 37,761.30/x
3. Step 3: Cross multiply
   75,826.72x = 113,587.82 × 37,761.30
4. Step 4: Simplify right side
   75,826.72x = 4,289,223,747.37
5. Step 5: Solve for x
   x = 4,289,223,747.37/75,826.72
6. Step 6: Final answer
   x = 56,566.13