Finding the Fourth Proportional to 10,498.79, 14,488.50 and 5,783.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.79 : 14,488.50 = 5,783.07 : x
2. Step 2: Convert to fraction form
   10,498.79/14,488.50 = 5,783.07/x
3. Step 3: Cross multiply
   10,498.79x = 14,488.50 × 5,783.07
4. Step 4: Simplify right side
   10,498.79x = 83,788,085.71
5. Step 5: Solve for x
   x = 83,788,085.71/10,498.79
6. Step 6: Final answer
   x = 7,980.74