Finding the Fourth Proportional to 9,410.01, 12,985.60 and 5,377.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.01 : 12,985.60 = 5,377.02 : x
2. Step 2: Convert to fraction form
   9,410.01/12,985.60 = 5,377.02/x
3. Step 3: Cross multiply
   9,410.01x = 12,985.60 × 5,377.02
4. Step 4: Simplify right side
   9,410.01x = 69,823,830.91
5. Step 5: Solve for x
   x = 69,823,830.91/9,410.01
6. Step 6: Final answer
   x = 7,420.17