Finding the Fourth Proportional to 9,645.64, 13,308.82 and 5,870.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.64 : 13,308.82 = 5,870.76 : x
2. Step 2: Convert to fraction form
   9,645.64/13,308.82 = 5,870.76/x
3. Step 3: Cross multiply
   9,645.64x = 13,308.82 × 5,870.76
4. Step 4: Simplify right side
   9,645.64x = 78,132,888.10
5. Step 5: Solve for x
   x = 78,132,888.10/9,645.64
6. Step 6: Final answer
   x = 8,100.33