Finding the Fourth Proportional to 9,162.01, 13,741.40 and 2,588.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162.01 : 13,741.40 = 2,588.05 : x
2. Step 2: Convert to fraction form
   9,162.01/13,741.40 = 2,588.05/x
3. Step 3: Cross multiply
   9,162.01x = 13,741.40 × 2,588.05
4. Step 4: Simplify right side
   9,162.01x = 35,563,439.36
5. Step 5: Solve for x
   x = 35,563,439.36/9,162.01
6. Step 6: Final answer
   x = 3,881.62