Finding the Fourth Proportional to 10,498.99, 14,488.64 and 5,783.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.99 : 14,488.64 = 5,783.26 : x
2. Step 2: Convert to fraction form
   10,498.99/14,488.64 = 5,783.26/x
3. Step 3: Cross multiply
   10,498.99x = 14,488.64 × 5,783.26
4. Step 4: Simplify right side
   10,498.99x = 83,791,470.81
5. Step 5: Solve for x
   x = 83,791,470.81/10,498.99
6. Step 6: Final answer
   x = 7,980.91