Finding the Fourth Proportional to 1,099.49, 1,647.69 and 977.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.49 : 1,647.69 = 977.52 : x
2. Step 2: Convert to fraction form
   1,099.49/1,647.69 = 977.52/x
3. Step 3: Cross multiply
   1,099.49x = 1,647.69 × 977.52
4. Step 4: Simplify right side
   1,099.49x = 1,610,649.93
5. Step 5: Solve for x
   x = 1,610,649.93/1,099.49
6. Step 6: Final answer
   x = 1,464.91