Finding the Fourth Proportional to 55,674, 76,830.12 and 30,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,674 : 76,830.12 = 30,523.50 : x
2. Step 2: Convert to fraction form
   55,674/76,830.12 = 30,523.50/x
3. Step 3: Cross multiply
   55,674x = 76,830.12 × 30,523.50
4. Step 4: Simplify right side
   55,674x = 2,345,124,167.82
5. Step 5: Solve for x
   x = 2,345,124,167.82/55,674
6. Step 6: Final answer
   x = 42,122.43