Finding the Fourth Proportional to 5,200.75, 7,799.52 and 1,914.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.75 : 7,799.52 = 1,914.10 : x
2. Step 2: Convert to fraction form
   5,200.75/7,799.52 = 1,914.10/x
3. Step 3: Cross multiply
   5,200.75x = 7,799.52 × 1,914.10
4. Step 4: Simplify right side
   5,200.75x = 14,929,061.23
5. Step 5: Solve for x
   x = 14,929,061.23/5,200.75
6. Step 6: Final answer
   x = 2,870.56