Finding the Fourth Proportional to 1,291.77, 1,938.17 and 470.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.77 : 1,938.17 = 470.10 : x
2. Step 2: Convert to fraction form
   1,291.77/1,938.17 = 470.10/x
3. Step 3: Cross multiply
   1,291.77x = 1,938.17 × 470.10
4. Step 4: Simplify right side
   1,291.77x = 911,134.89
5. Step 5: Solve for x
   x = 911,134.89/1,291.77
6. Step 6: Final answer
   x = 705.34