Finding the Fourth Proportional to 5,645.86, 7,788.60 and 3,758.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.86 : 7,788.60 = 3,758.32 : x
2. Step 2: Convert to fraction form
   5,645.86/7,788.60 = 3,758.32/x
3. Step 3: Cross multiply
   5,645.86x = 7,788.60 × 3,758.32
4. Step 4: Simplify right side
   5,645.86x = 29,272,051.15
5. Step 5: Solve for x
   x = 29,272,051.15/5,645.86
6. Step 6: Final answer
   x = 5,184.69