Finding the Fourth Proportional to 7,813.91, 10,774.61 and 4,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,813.91 : 10,774.61 = 4,978.10 : x
2. Step 2: Convert to fraction form
   7,813.91/10,774.61 = 4,978.10/x
3. Step 3: Cross multiply
   7,813.91x = 10,774.61 × 4,978.10
4. Step 4: Simplify right side
   7,813.91x = 53,637,088.09
5. Step 5: Solve for x
   x = 53,637,088.09/7,813.91
6. Step 6: Final answer
   x = 6,864.31