Finding the Fourth Proportional to 11,749.01, 17,616.58 and 7,802.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749.01 : 17,616.58 = 7,802.42 : x
2. Step 2: Convert to fraction form
   11,749.01/17,616.58 = 7,802.42/x
3. Step 3: Cross multiply
   11,749.01x = 17,616.58 × 7,802.42
4. Step 4: Simplify right side
   11,749.01x = 137,451,848.53
5. Step 5: Solve for x
   x = 137,451,848.53/11,749.01
6. Step 6: Final answer
   x = 11,699.02