Finding the Fourth Proportional to 9,642.38, 13,314.03 and 7,400.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.38 : 13,314.03 = 7,400.71 : x
2. Step 2: Convert to fraction form
   9,642.38/13,314.03 = 7,400.71/x
3. Step 3: Cross multiply
   9,642.38x = 13,314.03 × 7,400.71
4. Step 4: Simplify right side
   9,642.38x = 98,533,274.96
5. Step 5: Solve for x
   x = 98,533,274.96/9,642.38
6. Step 6: Final answer
   x = 10,218.77