Finding the Fourth Proportional to 2,085, 2,877.39 and 1,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085 : 2,877.39 = 1,153.50 : x
2. Step 2: Convert to fraction form
   2,085/2,877.39 = 1,153.50/x
3. Step 3: Cross multiply
   2,085x = 2,877.39 × 1,153.50
4. Step 4: Simplify right side
   2,085x = 3,319,069.37
5. Step 5: Solve for x
   x = 3,319,069.37/2,085
6. Step 6: Final answer
   x = 1,591.88