Finding the Fourth Proportional to 2,114, 2,917.32 and 1,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114 : 2,917.32 = 1,182.50 : x
2. Step 2: Convert to fraction form
   2,114/2,917.32 = 1,182.50/x
3. Step 3: Cross multiply
   2,114x = 2,917.32 × 1,182.50
4. Step 4: Simplify right side
   2,114x = 3,449,730.90
5. Step 5: Solve for x
   x = 3,449,730.90/2,114
6. Step 6: Final answer
   x = 1,631.85