Finding the Fourth Proportional to 10,498.28, 14,487.62 and 5,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.28 : 14,487.62 = 5,782.50 : x
2. Step 2: Convert to fraction form
   10,498.28/14,487.62 = 5,782.50/x
3. Step 3: Cross multiply
   10,498.28x = 14,487.62 × 5,782.50
4. Step 4: Simplify right side
   10,498.28x = 83,774,633.74
5. Step 5: Solve for x
   x = 83,774,633.74/10,498.28
6. Step 6: Final answer
   x = 7,979.85