Finding the Fourth Proportional to 1,402.05, 2,102.22 and 1,196.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.05 : 2,102.22 = 1,196.76 : x
2. Step 2: Convert to fraction form
   1,402.05/2,102.22 = 1,196.76/x
3. Step 3: Cross multiply
   1,402.05x = 2,102.22 × 1,196.76
4. Step 4: Simplify right side
   1,402.05x = 2,515,852.81
5. Step 5: Solve for x
   x = 2,515,852.81/1,402.05
6. Step 6: Final answer
   x = 1,794.41