Finding the Fourth Proportional to 11,654.01, 17,464.01 and 5,802.57

Step by Step Solution

1. Step 1: Write the proportion equation
   11,654.01 : 17,464.01 = 5,802.57 : x
2. Step 2: Convert to fraction form
   11,654.01/17,464.01 = 5,802.57/x
3. Step 3: Cross multiply
   11,654.01x = 17,464.01 × 5,802.57
4. Step 4: Simplify right side
   11,654.01x = 101,336,111.49
5. Step 5: Solve for x
   x = 101,336,111.49/11,654.01
6. Step 6: Final answer
   x = 8,695.39