Finding the Fourth Proportional to 9,611.74, 13,264.28 and 5,782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,611.74 : 13,264.28 = 5,782.82 : x
2. Step 2: Convert to fraction form
   9,611.74/13,264.28 = 5,782.82/x
3. Step 3: Cross multiply
   9,611.74x = 13,264.28 × 5,782.82
4. Step 4: Simplify right side
   9,611.74x = 76,704,943.67
5. Step 5: Solve for x
   x = 76,704,943.67/9,611.74
6. Step 6: Final answer
   x = 7,980.34