Finding the Fourth Proportional to 1,566.43, 2,348.89 and 470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.43 : 2,348.89 = 470.50 : x
2. Step 2: Convert to fraction form
   1,566.43/2,348.89 = 470.50/x
3. Step 3: Cross multiply
   1,566.43x = 2,348.89 × 470.50
4. Step 4: Simplify right side
   1,566.43x = 1,105,162.14
5. Step 5: Solve for x
   x = 1,105,162.14/1,566.43
6. Step 6: Final answer
   x = 705.53