Finding the Fourth Proportional to 12,888.42, 17,785.35 and 7,586.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,888.42 : 17,785.35 = 7,586.16 : x
2. Step 2: Convert to fraction form
   12,888.42/17,785.35 = 7,586.16/x
3. Step 3: Cross multiply
   12,888.42x = 17,785.35 × 7,586.16
4. Step 4: Simplify right side
   12,888.42x = 134,922,510.76
5. Step 5: Solve for x
   x = 134,922,510.76/12,888.42
6. Step 6: Final answer
   x = 10,468.51