Finding the Fourth Proportional to 1,402.21, 1,935.04 and 772.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.21 : 1,935.04 = 772.72 : x
2. Step 2: Convert to fraction form
   1,402.21/1,935.04 = 772.72/x
3. Step 3: Cross multiply
   1,402.21x = 1,935.04 × 772.72
4. Step 4: Simplify right side
   1,402.21x = 1,495,244.11
5. Step 5: Solve for x
   x = 1,495,244.11/1,402.21
6. Step 6: Final answer
   x = 1,066.35