Finding the Fourth Proportional to 1,646.31, 2,271.91 and 947.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.31 : 2,271.91 = 947.69 : x
2. Step 2: Convert to fraction form
   1,646.31/2,271.91 = 947.69/x
3. Step 3: Cross multiply
   1,646.31x = 2,271.91 × 947.69
4. Step 4: Simplify right side
   1,646.31x = 2,153,066.39
5. Step 5: Solve for x
   x = 2,153,066.39/1,646.31
6. Step 6: Final answer
   x = 1,307.81