Finding the Fourth Proportional to 1,463.58, 2,196.45 and 1,178.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.58 : 2,196.45 = 1,178.46 : x
2. Step 2: Convert to fraction form
   1,463.58/2,196.45 = 1,178.46/x
3. Step 3: Cross multiply
   1,463.58x = 2,196.45 × 1,178.46
4. Step 4: Simplify right side
   1,463.58x = 2,588,428.47
5. Step 5: Solve for x
   x = 2,588,428.47/1,463.58
6. Step 6: Final answer
   x = 1,768.56