Finding the Fourth Proportional to 109,898.10, 164,830.95 and 31,020.30

Step by Step Solution

1. Step 1: Write the proportion equation
   109,898.10 : 164,830.95 = 31,020.30 : x
2. Step 2: Convert to fraction form
   109,898.10/164,830.95 = 31,020.30/x
3. Step 3: Cross multiply
   109,898.10x = 164,830.95 × 31,020.30
4. Step 4: Simplify right side
   109,898.10x = 5,113,105,518.29
5. Step 5: Solve for x
   x = 5,113,105,518.29/109,898.10
6. Step 6: Final answer
   x = 46,525.88