Finding the Fourth Proportional to 209,978.84, 314,968.49 and 52,207.31

Step by Step Solution

1. Step 1: Write the proportion equation
   209,978.84 : 314,968.49 = 52,207.31 : x
2. Step 2: Convert to fraction form
   209,978.84/314,968.49 = 52,207.31/x
3. Step 3: Cross multiply
   209,978.84x = 314,968.49 × 52,207.31
4. Step 4: Simplify right side
   209,978.84x = 16,443,655,761.78
5. Step 5: Solve for x
   x = 16,443,655,761.78/209,978.84
6. Step 6: Final answer
   x = 78,311.02