Finding the Fourth Proportional to 10,498.34, 14,487.72 and 5,782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.34 : 14,487.72 = 5,782.63 : x
2. Step 2: Convert to fraction form
   10,498.34/14,487.72 = 5,782.63/x
3. Step 3: Cross multiply
   10,498.34x = 14,487.72 × 5,782.63
4. Step 4: Simplify right side
   10,498.34x = 83,777,124.30
5. Step 5: Solve for x
   x = 83,777,124.30/10,498.34
6. Step 6: Final answer
   x = 7,980.04