Finding the Fourth Proportional to 1,377.42, 1,900.86 and 788.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.42 : 1,900.86 = 788.16 : x
2. Step 2: Convert to fraction form
   1,377.42/1,900.86 = 788.16/x
3. Step 3: Cross multiply
   1,377.42x = 1,900.86 × 788.16
4. Step 4: Simplify right side
   1,377.42x = 1,498,181.82
5. Step 5: Solve for x
   x = 1,498,181.82/1,377.42
6. Step 6: Final answer
   x = 1,087.67