Finding the Fourth Proportional to 866.39, 1,294.05 and 784.00

Step by Step Solution

1. Step 1: Write the proportion equation
   866.39 : 1,294.05 = 784.00 : x
2. Step 2: Convert to fraction form
   866.39/1,294.05 = 784.00/x
3. Step 3: Cross multiply
   866.39x = 1,294.05 × 784.00
4. Step 4: Simplify right side
   866.39x = 1,014,530.27
5. Step 5: Solve for x
   x = 1,014,530.27/866.39
6. Step 6: Final answer
   x = 1,170.99