Finding the Fourth Proportional to 10,498.32, 14,487.78 and 5,782.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.32 : 14,487.78 = 5,782.76 : x
2. Step 2: Convert to fraction form
   10,498.32/14,487.78 = 5,782.76/x
3. Step 3: Cross multiply
   10,498.32x = 14,487.78 × 5,782.76
4. Step 4: Simplify right side
   10,498.32x = 83,779,354.67
5. Step 5: Solve for x
   x = 83,779,354.67/10,498.32
6. Step 6: Final answer
   x = 7,980.26