Finding the Fourth Proportional to 55,930.50, 77,185.71 and 30,780

Step by Step Solution

1. Step 1: Write the proportion equation
   55,930.50 : 77,185.71 = 30,780 : x
2. Step 2: Convert to fraction form
   55,930.50/77,185.71 = 30,780/x
3. Step 3: Cross multiply
   55,930.50x = 77,185.71 × 30,780
4. Step 4: Simplify right side
   55,930.50x = 2,375,776,153.80
5. Step 5: Solve for x
   x = 2,375,776,153.80/55,930.50
6. Step 6: Final answer
   x = 42,477.29