Finding the Fourth Proportional to 10,498.81, 14,488.18 and 5,783.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.81 : 14,488.18 = 5,783.53 : x
2. Step 2: Convert to fraction form
   10,498.81/14,488.18 = 5,783.53/x
3. Step 3: Cross multiply
   10,498.81x = 14,488.18 × 5,783.53
4. Step 4: Simplify right side
   10,498.81x = 83,792,823.68
5. Step 5: Solve for x
   x = 83,792,823.68/10,498.81
6. Step 6: Final answer
   x = 7,981.17