Finding the Fourth Proportional to 1,429.32, 1,971.13 and 931.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.32 : 1,971.13 = 931.78 : x
2. Step 2: Convert to fraction form
   1,429.32/1,971.13 = 931.78/x
3. Step 3: Cross multiply
   1,429.32x = 1,971.13 × 931.78
4. Step 4: Simplify right side
   1,429.32x = 1,836,659.51
5. Step 5: Solve for x
   x = 1,836,659.51/1,429.32
6. Step 6: Final answer
   x = 1,284.99