Finding the Fourth Proportional to 1,380.64, 1,904.64 and 962.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.64 : 1,904.64 = 962.02 : x
2. Step 2: Convert to fraction form
   1,380.64/1,904.64 = 962.02/x
3. Step 3: Cross multiply
   1,380.64x = 1,904.64 × 962.02
4. Step 4: Simplify right side
   1,380.64x = 1,832,301.77
5. Step 5: Solve for x
   x = 1,832,301.77/1,380.64
6. Step 6: Final answer
   x = 1,327.14