Finding the Fourth Proportional to 6,098.76, 9,146.32 and 2,588.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,098.76 : 9,146.32 = 2,588.72 : x
2. Step 2: Convert to fraction form
   6,098.76/9,146.32 = 2,588.72/x
3. Step 3: Cross multiply
   6,098.76x = 9,146.32 × 2,588.72
4. Step 4: Simplify right side
   6,098.76x = 23,677,261.51
5. Step 5: Solve for x
   x = 23,677,261.51/6,098.76
6. Step 6: Final answer
   x = 3,882.31