Finding the Fourth Proportional to 10,498.84, 14,488.58 and 5,783.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.84 : 14,488.58 = 5,783.08 : x
2. Step 2: Convert to fraction form
   10,498.84/14,488.58 = 5,783.08/x
3. Step 3: Cross multiply
   10,498.84x = 14,488.58 × 5,783.08
4. Step 4: Simplify right side
   10,498.84x = 83,788,617.23
5. Step 5: Solve for x
   x = 83,788,617.23/10,498.84
6. Step 6: Final answer
   x = 7,980.75