Finding the Fourth Proportional to 1,470.76, 2,029.42 and 947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.76 : 2,029.42 = 947.50 : x
2. Step 2: Convert to fraction form
   1,470.76/2,029.42 = 947.50/x
3. Step 3: Cross multiply
   1,470.76x = 2,029.42 × 947.50
4. Step 4: Simplify right side
   1,470.76x = 1,922,875.45
5. Step 5: Solve for x
   x = 1,922,875.45/1,470.76
6. Step 6: Final answer
   x = 1,307.40