Finding the Fourth Proportional to 1,097.55, 1,647.72 and 788.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.55 : 1,647.72 = 788.67 : x
2. Step 2: Convert to fraction form
   1,097.55/1,647.72 = 788.67/x
3. Step 3: Cross multiply
   1,097.55x = 1,647.72 × 788.67
4. Step 4: Simplify right side
   1,097.55x = 1,299,507.33
5. Step 5: Solve for x
   x = 1,299,507.33/1,097.55
6. Step 6: Final answer
   x = 1,184.01