Finding the Fourth Proportional to 10,498.81, 14,488.46 and 5,783.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.81 : 14,488.46 = 5,783.13 : x
2. Step 2: Convert to fraction form
   10,498.81/14,488.46 = 5,783.13/x
3. Step 3: Cross multiply
   10,498.81x = 14,488.46 × 5,783.13
4. Step 4: Simplify right side
   10,498.81x = 83,788,647.68
5. Step 5: Solve for x
   x = 83,788,647.68/10,498.81
6. Step 6: Final answer
   x = 7,980.78