Finding the Fourth Proportional to 2,084, 2,875.96 and 1,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084 : 2,875.96 = 1,152.50 : x
2. Step 2: Convert to fraction form
   2,084/2,875.96 = 1,152.50/x
3. Step 3: Cross multiply
   2,084x = 2,875.96 × 1,152.50
4. Step 4: Simplify right side
   2,084x = 3,314,543.90
5. Step 5: Solve for x
   x = 3,314,543.90/2,084
6. Step 6: Final answer
   x = 1,590.47