Finding the Fourth Proportional to 56,291.84, 77,678.88 and 31,142.24

Step by Step Solution

1. Step 1: Write the proportion equation
   56,291.84 : 77,678.88 = 31,142.24 : x
2. Step 2: Convert to fraction form
   56,291.84/77,678.88 = 31,142.24/x
3. Step 3: Cross multiply
   56,291.84x = 77,678.88 × 31,142.24
4. Step 4: Simplify right side
   56,291.84x = 2,419,094,323.89
5. Step 5: Solve for x
   x = 2,419,094,323.89/56,291.84
6. Step 6: Final answer
   x = 42,974.16