Finding the Fourth Proportional to 2,570.78, 3,856.14 and 623.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.78 : 3,856.14 = 623.00 : x
2. Step 2: Convert to fraction form
   2,570.78/3,856.14 = 623.00/x
3. Step 3: Cross multiply
   2,570.78x = 3,856.14 × 623.00
4. Step 4: Simplify right side
   2,570.78x = 2,402,384.86
5. Step 5: Solve for x
   x = 2,402,384.86/2,570.78
6. Step 6: Final answer
   x = 934.50