Finding the Fourth Proportional to 1,407.64, 1,947.42 and 1,233.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.64 : 1,947.42 = 1,233.52 : x
2. Step 2: Convert to fraction form
   1,407.64/1,947.42 = 1,233.52/x
3. Step 3: Cross multiply
   1,407.64x = 1,947.42 × 1,233.52
4. Step 4: Simplify right side
   1,407.64x = 2,402,181.52
5. Step 5: Solve for x
   x = 2,402,181.52/1,407.64
6. Step 6: Final answer
   x = 1,706.53