Finding the Fourth Proportional to 3,655.82, 5,488.59 and 1,925.66

Step by Step Solution

1. Step 1: Write the proportion equation
   3,655.82 : 5,488.59 = 1,925.66 : x
2. Step 2: Convert to fraction form
   3,655.82/5,488.59 = 1,925.66/x
3. Step 3: Cross multiply
   3,655.82x = 5,488.59 × 1,925.66
4. Step 4: Simplify right side
   3,655.82x = 10,569,158.22
5. Step 5: Solve for x
   x = 10,569,158.22/3,655.82
6. Step 6: Final answer
   x = 2,891.05