Finding the Fourth Proportional to 109,978.85, 164,977.89 and 31,093.10

Step by Step Solution

1. Step 1: Write the proportion equation
   109,978.85 : 164,977.89 = 31,093.10 : x
2. Step 2: Convert to fraction form
   109,978.85/164,977.89 = 31,093.10/x
3. Step 3: Cross multiply
   109,978.85x = 164,977.89 × 31,093.10
4. Step 4: Simplify right side
   109,978.85x = 5,129,673,206.67
5. Step 5: Solve for x
   x = 5,129,673,206.67/109,978.85
6. Step 6: Final answer
   x = 46,642.36