Finding the Fourth Proportional to 9,971.01, 13,760.03 and 5,494.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.01 : 13,760.03 = 5,494.66 : x
2. Step 2: Convert to fraction form
   9,971.01/13,760.03 = 5,494.66/x
3. Step 3: Cross multiply
   9,971.01x = 13,760.03 × 5,494.66
4. Step 4: Simplify right side
   9,971.01x = 75,606,665.78
5. Step 5: Solve for x
   x = 75,606,665.78/9,971.01
6. Step 6: Final answer
   x = 7,582.65