Finding the Fourth Proportional to 78,642.42, 117,962.91 and 31,884.18

Step by Step Solution

1. Step 1: Write the proportion equation
   78,642.42 : 117,962.91 = 31,884.18 : x
2. Step 2: Convert to fraction form
   78,642.42/117,962.91 = 31,884.18/x
3. Step 3: Cross multiply
   78,642.42x = 117,962.91 × 31,884.18
4. Step 4: Simplify right side
   78,642.42x = 3,761,150,655.76
5. Step 5: Solve for x
   x = 3,761,150,655.76/78,642.42
6. Step 6: Final answer
   x = 47,825.98