Finding the Fourth Proportional to 1,610.69, 2,222.64 and 947.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.69 : 2,222.64 = 947.30 : x
2. Step 2: Convert to fraction form
   1,610.69/2,222.64 = 947.30/x
3. Step 3: Cross multiply
   1,610.69x = 2,222.64 × 947.30
4. Step 4: Simplify right side
   1,610.69x = 2,105,495.76
5. Step 5: Solve for x
   x = 2,105,495.76/1,610.69
6. Step 6: Final answer
   x = 1,307.21