Finding the Fourth Proportional to 5,646.33, 7,784.24 and 3,758.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646.33 : 7,784.24 = 3,758.00 : x
2. Step 2: Convert to fraction form
   5,646.33/7,784.24 = 3,758.00/x
3. Step 3: Cross multiply
   5,646.33x = 7,784.24 × 3,758.00
4. Step 4: Simplify right side
   5,646.33x = 29,253,116.21
5. Step 5: Solve for x
   x = 29,253,116.21/5,646.33
6. Step 6: Final answer
   x = 5,180.91