Finding the Fourth Proportional to 1,307.69, 1,804.55 and 784.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,307.69 : 1,804.55 = 784.01 : x
2. Step 2: Convert to fraction form
   1,307.69/1,804.55 = 784.01/x
3. Step 3: Cross multiply
   1,307.69x = 1,804.55 × 784.01
4. Step 4: Simplify right side
   1,307.69x = 1,414,772.30
5. Step 5: Solve for x
   x = 1,414,772.30/1,307.69
6. Step 6: Final answer
   x = 1,081.89