Finding the Fourth Proportional to 55,842, 77,061.96 and 30,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,842 : 77,061.96 = 30,691.50 : x
2. Step 2: Convert to fraction form
   55,842/77,061.96 = 30,691.50/x
3. Step 3: Cross multiply
   55,842x = 77,061.96 × 30,691.50
4. Step 4: Simplify right side
   55,842x = 2,365,147,145.34
5. Step 5: Solve for x
   x = 2,365,147,145.34/55,842
6. Step 6: Final answer
   x = 42,354.27