Finding the Fourth Proportional to 10,498.96, 14,488.38 and 5,783.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.96 : 14,488.38 = 5,783.20 : x
2. Step 2: Convert to fraction form
   10,498.96/14,488.38 = 5,783.20/x
3. Step 3: Cross multiply
   10,498.96x = 14,488.38 × 5,783.20
4. Step 4: Simplify right side
   10,498.96x = 83,789,199.22
5. Step 5: Solve for x
   x = 83,789,199.22/10,498.96
6. Step 6: Final answer
   x = 7,980.71