Finding the Fourth Proportional to 2,120.28, 2,925.86 and 1,188.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,120.28 : 2,925.86 = 1,188.76 : x
2. Step 2: Convert to fraction form
   2,120.28/2,925.86 = 1,188.76/x
3. Step 3: Cross multiply
   2,120.28x = 2,925.86 × 1,188.76
4. Step 4: Simplify right side
   2,120.28x = 3,478,145.33
5. Step 5: Solve for x
   x = 3,478,145.33/2,120.28
6. Step 6: Final answer
   x = 1,640.42