Finding the Fourth Proportional to 31,076.40, 42,887.16 and 17,642.64

Step by Step Solution

1. Step 1: Write the proportion equation
   31,076.40 : 42,887.16 = 17,642.64 : x
2. Step 2: Convert to fraction form
   31,076.40/42,887.16 = 17,642.64/x
3. Step 3: Cross multiply
   31,076.40x = 42,887.16 × 17,642.64
4. Step 4: Simplify right side
   31,076.40x = 756,642,724.50
5. Step 5: Solve for x
   x = 756,642,724.50/31,076.40
6. Step 6: Final answer
   x = 24,347.82