Finding the Fourth Proportional to 1,097.61, 1,643.98 and 788.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.61 : 1,643.98 = 788.53 : x
2. Step 2: Convert to fraction form
   1,097.61/1,643.98 = 788.53/x
3. Step 3: Cross multiply
   1,097.61x = 1,643.98 × 788.53
4. Step 4: Simplify right side
   1,097.61x = 1,296,327.72
5. Step 5: Solve for x
   x = 1,296,327.72/1,097.61
6. Step 6: Final answer
   x = 1,181.05