Finding the Fourth Proportional to 1,047.84, 1,577.46 and 942

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.84 : 1,577.46 = 942 : x
2. Step 2: Convert to fraction form
   1,047.84/1,577.46 = 942/x
3. Step 3: Cross multiply
   1,047.84x = 1,577.46 × 942
4. Step 4: Simplify right side
   1,047.84x = 1,485,967.32
5. Step 5: Solve for x
   x = 1,485,967.32/1,047.84
6. Step 6: Final answer
   x = 1,418.12