Finding the Fourth Proportional to 1,476.86, 2,211.69 and 705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,476.86 : 2,211.69 = 705.50 : x
2. Step 2: Convert to fraction form
   1,476.86/2,211.69 = 705.50/x
3. Step 3: Cross multiply
   1,476.86x = 2,211.69 × 705.50
4. Step 4: Simplify right side
   1,476.86x = 1,560,347.30
5. Step 5: Solve for x
   x = 1,560,347.30/1,476.86
6. Step 6: Final answer
   x = 1,056.53