Finding the Fourth Proportional to 1,970.10, 2,947.86 and 1,948.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,970.10 : 2,947.86 = 1,948.23 : x
2. Step 2: Convert to fraction form
   1,970.10/2,947.86 = 1,948.23/x
3. Step 3: Cross multiply
   1,970.10x = 2,947.86 × 1,948.23
4. Step 4: Simplify right side
   1,970.10x = 5,743,109.29
5. Step 5: Solve for x
   x = 5,743,109.29/1,970.10
6. Step 6: Final answer
   x = 2,915.14