Finding the Fourth Proportional to 1,142.84, 1,577.72 and 893.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.84 : 1,577.72 = 893.63 : x
2. Step 2: Convert to fraction form
   1,142.84/1,577.72 = 893.63/x
3. Step 3: Cross multiply
   1,142.84x = 1,577.72 × 893.63
4. Step 4: Simplify right side
   1,142.84x = 1,409,892.27
5. Step 5: Solve for x
   x = 1,409,892.27/1,142.84
6. Step 6: Final answer
   x = 1,233.68