Finding the Fourth Proportional to 1,824.21, 2,515.61 and 1,160.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.21 : 2,515.61 = 1,160.82 : x
2. Step 2: Convert to fraction form
   1,824.21/2,515.61 = 1,160.82/x
3. Step 3: Cross multiply
   1,824.21x = 2,515.61 × 1,160.82
4. Step 4: Simplify right side
   1,824.21x = 2,920,164.60
5. Step 5: Solve for x
   x = 2,920,164.60/1,824.21
6. Step 6: Final answer
   x = 1,600.78