Finding the Fourth Proportional to 1,178.05, 1,625.57 and 705.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.05 : 1,625.57 = 705.86 : x
2. Step 2: Convert to fraction form
   1,178.05/1,625.57 = 705.86/x
3. Step 3: Cross multiply
   1,178.05x = 1,625.57 × 705.86
4. Step 4: Simplify right side
   1,178.05x = 1,147,416.71
5. Step 5: Solve for x
   x = 1,147,416.71/1,178.05
6. Step 6: Final answer
   x = 974.00