Finding the Fourth Proportional to 55,575, 76,693.50 and 30,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,575 : 76,693.50 = 30,424.50 : x
2. Step 2: Convert to fraction form
   55,575/76,693.50 = 30,424.50/x
3. Step 3: Cross multiply
   55,575x = 76,693.50 × 30,424.50
4. Step 4: Simplify right side
   55,575x = 2,333,361,390.75
5. Step 5: Solve for x
   x = 2,333,361,390.75/55,575
6. Step 6: Final answer
   x = 41,985.81