Finding the Fourth Proportional to 5,675.84, 7,830.72 and 3,689.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,675.84 : 7,830.72 = 3,689.12 : x
2. Step 2: Convert to fraction form
   5,675.84/7,830.72 = 3,689.12/x
3. Step 3: Cross multiply
   5,675.84x = 7,830.72 × 3,689.12
4. Step 4: Simplify right side
   5,675.84x = 28,888,465.77
5. Step 5: Solve for x
   x = 28,888,465.77/5,675.84
6. Step 6: Final answer
   x = 5,089.73