Finding the Fourth Proportional to 1,369.32, 2,053.81 and 782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,369.32 : 2,053.81 = 782.42 : x
2. Step 2: Convert to fraction form
   1,369.32/2,053.81 = 782.42/x
3. Step 3: Cross multiply
   1,369.32x = 2,053.81 × 782.42
4. Step 4: Simplify right side
   1,369.32x = 1,606,942.77
5. Step 5: Solve for x
   x = 1,606,942.77/1,369.32
6. Step 6: Final answer
   x = 1,173.53