Finding the Fourth Proportional to 1,377.64, 1,900.56 and 852.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.64 : 1,900.56 = 852.76 : x
2. Step 2: Convert to fraction form
   1,377.64/1,900.56 = 852.76/x
3. Step 3: Cross multiply
   1,377.64x = 1,900.56 × 852.76
4. Step 4: Simplify right side
   1,377.64x = 1,620,721.55
5. Step 5: Solve for x
   x = 1,620,721.55/1,377.64
6. Step 6: Final answer
   x = 1,176.45