Finding the Fourth Proportional to 2,071.02, 3,107.07 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.02 : 3,107.07 = 772.50 : x
2. Step 2: Convert to fraction form
   2,071.02/3,107.07 = 772.50/x
3. Step 3: Cross multiply
   2,071.02x = 3,107.07 × 772.50
4. Step 4: Simplify right side
   2,071.02x = 2,400,211.58
5. Step 5: Solve for x
   x = 2,400,211.58/2,071.02
6. Step 6: Final answer
   x = 1,158.95