Finding the Fourth Proportional to 10,498.82, 15,738.50 and 3,920.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.82 : 15,738.50 = 3,920.00 : x
2. Step 2: Convert to fraction form
   10,498.82/15,738.50 = 3,920.00/x
3. Step 3: Cross multiply
   10,498.82x = 15,738.50 × 3,920.00
4. Step 4: Simplify right side
   10,498.82x = 61,694,851.11
5. Step 5: Solve for x
   x = 61,694,851.11/10,498.82
6. Step 6: Final answer
   x = 5,876.36