Finding the Fourth Proportional to 2,053.59, 3,075.71 and 1,684.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.59 : 3,075.71 = 1,684.52 : x
2. Step 2: Convert to fraction form
   2,053.59/3,075.71 = 1,684.52/x
3. Step 3: Cross multiply
   2,053.59x = 3,075.71 × 1,684.52
4. Step 4: Simplify right side
   2,053.59x = 5,181,071.21
5. Step 5: Solve for x
   x = 5,181,071.21/2,053.59
6. Step 6: Final answer
   x = 2,522.93