Finding the Fourth Proportional to 6,645.70, 9,962.15 and 5,164.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,645.70 : 9,962.15 = 5,164.10 : x
2. Step 2: Convert to fraction form
   6,645.70/9,962.15 = 5,164.10/x
3. Step 3: Cross multiply
   6,645.70x = 9,962.15 × 5,164.10
4. Step 4: Simplify right side
   6,645.70x = 51,445,538.82
5. Step 5: Solve for x
   x = 51,445,538.82/6,645.70
6. Step 6: Final answer
   x = 7,741.18