Finding the Fourth Proportional to 10,498.19, 14,486.18 and 5,782.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.19 : 14,486.18 = 5,782.77 : x
2. Step 2: Convert to fraction form
   10,498.19/14,486.18 = 5,782.77/x
3. Step 3: Cross multiply
   10,498.19x = 14,486.18 × 5,782.77
4. Step 4: Simplify right side
   10,498.19x = 83,770,218.20
5. Step 5: Solve for x
   x = 83,770,218.20/10,498.19
6. Step 6: Final answer
   x = 7,979.50