Finding the Fourth Proportional to 9,516.06, 13,129.59 and 5,787.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.06 : 13,129.59 = 5,787.42 : x
2. Step 2: Convert to fraction form
   9,516.06/13,129.59 = 5,787.42/x
3. Step 3: Cross multiply
   9,516.06x = 13,129.59 × 5,787.42
4. Step 4: Simplify right side
   9,516.06x = 75,986,451.76
5. Step 5: Solve for x
   x = 75,986,451.76/9,516.06
6. Step 6: Final answer
   x = 7,985.07