Finding the Fourth Proportional to 78,166.17, 117,254.70 and 31,419

Step by Step Solution

1. Step 1: Write the proportion equation
   78,166.17 : 117,254.70 = 31,419 : x
2. Step 2: Convert to fraction form
   78,166.17/117,254.70 = 31,419/x
3. Step 3: Cross multiply
   78,166.17x = 117,254.70 × 31,419
4. Step 4: Simplify right side
   78,166.17x = 3,684,025,419.30
5. Step 5: Solve for x
   x = 3,684,025,419.30/78,166.17
6. Step 6: Final answer
   x = 47,130.69