Finding the Fourth Proportional to 10,498.50, 15,742.62 and 4,947.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.50 : 15,742.62 = 4,947.12 : x
2. Step 2: Convert to fraction form
   10,498.50/15,742.62 = 4,947.12/x
3. Step 3: Cross multiply
   10,498.50x = 15,742.62 × 4,947.12
4. Step 4: Simplify right side
   10,498.50x = 77,880,630.25
5. Step 5: Solve for x
   x = 77,880,630.25/10,498.50
6. Step 6: Final answer
   x = 7,418.26