Finding the Fourth Proportional to 9,776.13, 13,490.46 and 5,742.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.13 : 13,490.46 = 5,742.36 : x
2. Step 2: Convert to fraction form
   9,776.13/13,490.46 = 5,742.36/x
3. Step 3: Cross multiply
   9,776.13x = 13,490.46 × 5,742.36
4. Step 4: Simplify right side
   9,776.13x = 77,467,077.89
5. Step 5: Solve for x
   x = 77,467,077.89/9,776.13
6. Step 6: Final answer
   x = 7,924.10