Finding the Fourth Proportional to 9,121.75, 12,587.76 and 5,142.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,121.75 : 12,587.76 = 5,142.83 : x
2. Step 2: Convert to fraction form
   9,121.75/12,587.76 = 5,142.83/x
3. Step 3: Cross multiply
   9,121.75x = 12,587.76 × 5,142.83
4. Step 4: Simplify right side
   9,121.75x = 64,736,646.82
5. Step 5: Solve for x
   x = 64,736,646.82/9,121.75
6. Step 6: Final answer
   x = 7,096.96