Finding the Fourth Proportional to 10,498.51, 14,487.96 and 5,782.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.51 : 14,487.96 = 5,782.69 : x
2. Step 2: Convert to fraction form
   10,498.51/14,487.96 = 5,782.69/x
3. Step 3: Cross multiply
   10,498.51x = 14,487.96 × 5,782.69
4. Step 4: Simplify right side
   10,498.51x = 83,779,381.41
5. Step 5: Solve for x
   x = 83,779,381.41/10,498.51
6. Step 6: Final answer
   x = 7,980.12