Finding the Fourth Proportional to 1,646.08, 2,271.32 and 947.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.08 : 2,271.32 = 947.32 : x
2. Step 2: Convert to fraction form
   1,646.08/2,271.32 = 947.32/x
3. Step 3: Cross multiply
   1,646.08x = 2,271.32 × 947.32
4. Step 4: Simplify right side
   1,646.08x = 2,151,666.86
5. Step 5: Solve for x
   x = 2,151,666.86/1,646.08
6. Step 6: Final answer
   x = 1,307.15