Finding the Fourth Proportional to 948.37, 1,419.77 and 705.98

Step by Step Solution

1. Step 1: Write the proportion equation
   948.37 : 1,419.77 = 705.98 : x
2. Step 2: Convert to fraction form
   948.37/1,419.77 = 705.98/x
3. Step 3: Cross multiply
   948.37x = 1,419.77 × 705.98
4. Step 4: Simplify right side
   948.37x = 1,002,323.89
5. Step 5: Solve for x
   x = 1,002,323.89/948.37
6. Step 6: Final answer
   x = 1,056.89