Finding the Fourth Proportional to 1,307.82, 1,804.50 and 784.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,307.82 : 1,804.50 = 784.02 : x
2. Step 2: Convert to fraction form
   1,307.82/1,804.50 = 784.02/x
3. Step 3: Cross multiply
   1,307.82x = 1,804.50 × 784.02
4. Step 4: Simplify right side
   1,307.82x = 1,414,764.09
5. Step 5: Solve for x
   x = 1,414,764.09/1,307.82
6. Step 6: Final answer
   x = 1,081.77