Finding the Fourth Proportional to 1,407.88, 2,111.59 and 470.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.88 : 2,111.59 = 470.81 : x
2. Step 2: Convert to fraction form
   1,407.88/2,111.59 = 470.81/x
3. Step 3: Cross multiply
   1,407.88x = 2,111.59 × 470.81
4. Step 4: Simplify right side
   1,407.88x = 994,170.10
5. Step 5: Solve for x
   x = 994,170.10/1,407.88
6. Step 6: Final answer
   x = 706.15