Finding the Fourth Proportional to 7,460.02, 10,294.52 and 4,102.77

Step by Step Solution

1. Step 1: Write the proportion equation
   7,460.02 : 10,294.52 = 4,102.77 : x
2. Step 2: Convert to fraction form
   7,460.02/10,294.52 = 4,102.77/x
3. Step 3: Cross multiply
   7,460.02x = 10,294.52 × 4,102.77
4. Step 4: Simplify right side
   7,460.02x = 42,236,047.82
5. Step 5: Solve for x
   x = 42,236,047.82/7,460.02
6. Step 6: Final answer
   x = 5,661.65