Finding the Fourth Proportional to 1,009.28, 1,506.86 and 947.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.28 : 1,506.86 = 947.48 : x
2. Step 2: Convert to fraction form
   1,009.28/1,506.86 = 947.48/x
3. Step 3: Cross multiply
   1,009.28x = 1,506.86 × 947.48
4. Step 4: Simplify right side
   1,009.28x = 1,427,719.71
5. Step 5: Solve for x
   x = 1,427,719.71/1,009.28
6. Step 6: Final answer
   x = 1,414.59