Finding the Fourth Proportional to 10,024.58, 13,835.38 and 5,774.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.58 : 13,835.38 = 5,774.81 : x
2. Step 2: Convert to fraction form
   10,024.58/13,835.38 = 5,774.81/x
3. Step 3: Cross multiply
   10,024.58x = 13,835.38 × 5,774.81
4. Step 4: Simplify right side
   10,024.58x = 79,896,690.78
5. Step 5: Solve for x
   x = 79,896,690.78/10,024.58
6. Step 6: Final answer
   x = 7,970.08