Finding the Fourth Proportional to 9,686.42, 14,511.30 and 5,725.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.42 : 14,511.30 = 5,725.82 : x
2. Step 2: Convert to fraction form
   9,686.42/14,511.30 = 5,725.82/x
3. Step 3: Cross multiply
   9,686.42x = 14,511.30 × 5,725.82
4. Step 4: Simplify right side
   9,686.42x = 83,089,091.77
5. Step 5: Solve for x
   x = 83,089,091.77/9,686.42
6. Step 6: Final answer
   x = 8,577.89